Well you're half right. That's not a RATE but it is the total amount of inflation to 2002.
(180.3 - 13.7) / 13.7 = 12.16 or 1216% total inflation.
Your 86.3% number to the base year is wrong ... you forgot to divide 86.3 by 13.7. But I don't know why you'd need that anyway.
I see, since you know the total inflation from 1932 - 2002, you just need to compare THAT increase, to the increase you get from 15000 to 200,000 using the same math. And warning, think carefully about what the answer means to tell which costs more.
If you have a typical wage for 1932 versus 2002, just do the same math to find that total increase.
You can just compare those total increases against each other, without any regard to the base year itself.