Finding the Fourth Proportional to 150.78, 224.69 and 142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150.78 : 224.69 = 142.50 : x
2. Step 2: Convert to fraction form
   150.78/224.69 = 142.50/x
3. Step 3: Cross multiply
   150.78x = 224.69 × 142.50
4. Step 4: Simplify right side
   150.78x = 32,017.61
5. Step 5: Solve for x
   x = 32,017.61/150.78
6. Step 6: Final answer
   x = 212.35