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Finding the Fourth Proportional to 157,132.50, 216,843.51 and 85,512.43

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Solution

The fourth proportional to 157,132.50, 216,843.51 and 85,512.43 is: 118,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,132.50 : 216,843.51 = 85,512.43 : x
  2. Step 2: Convert to fraction form
    157,132.50/216,843.51 = 85,512.43/x
  3. Step 3: Cross multiply
    157,132.50x = 216,843.51 × 85,512.43
  4. Step 4: Simplify right side
    157,132.50x = 18,542,815,469.83
  5. Step 5: Solve for x
    x = 18,542,815,469.83/157,132.50
  6. Step 6: Final answer
    x = 118,007.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.