Finding the Fourth Proportional to 127.50, 191.25 and 100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 191.25 = 100.50 : x
2. Step 2: Convert to fraction form
   127.50/191.25 = 100.50/x
3. Step 3: Cross multiply
   127.50x = 191.25 × 100.50
4. Step 4: Simplify right side
   127.50x = 19,220.63
5. Step 5: Solve for x
   x = 19,220.63/127.50
6. Step 6: Final answer
   x = 150.75