Technology based start-up consultant. Head of the Small and Medium Business Department at Unión Industrial Argentina.
a) Look for a customer that will not only be a customer, it will be your first and most important ally as a word spreader of your company and give you reputation. It may not be a customer if you are not selling to companies.
b) Pre-sell services/products to fund your early stage operation
c) Develop no-core products/services that will help you fund the company while you are developing the star product
Just a few most rapid growth entrepreneurs usually use.
This is an equation that math cannot solve. I would tell you to go back to the that moment when you told your partner you wanted him on your team. You went to him just because he could finance the first stage of the start-up? What did you and what did he/she agree on when you signed up for this project? Are you thinking about changing what has been discussed and agreed before? Sorry to add more questions than answers to your question but this things are important to understand where you stand right now.
Let's say you are right now on a 50-50 basis and you think that is unfair...to you as it sounds (but I'm not entirely sure) from your question. If you want to change that you must value all your capacities and contributions (in the past and potentially in the future) to the project in a way they can have more impact in the future than the 100 k . That is a hard exercise though. Another way to think about this is: could I get someone else to invest 100k in this project right now as it is for less than 50% of future profits? Could I get any other source of funding that would diminish the amount an investor should invest in this project? Since you are describing is a partner that only offers you money, then thinking your project without money could answer your question.
Feel free for a chat on more details over these issues and good luck!