Someone check my math on percent account growth.

Scenario:

Account: $100
Account Goal: $150
Growth goal: $50
Percent growth: 50%

First trade nets 15%
New Account: $115
New goal: $35
Percent left to goal: 30%

Second trade nets 15%
New account: $132.25
New goal: $17.75
Percent left to goal: 13.4%

Third trade nets 15%
New account: $152.09
Goal reached: 52.09%

If the math is right then this should illustrate the importance of multiple smaller trades making a larger goal more attainable. Been thinking of better ways to handle my account and take advantage of the compounding with less risk.