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Finding the Fourth Proportional to 157,157.57, 216,882.05 and 85,542.23

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Solution

The fourth proportional to 157,157.57, 216,882.05 and 85,542.23 is: 118,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,157.57 : 216,882.05 = 85,542.23 : x
  2. Step 2: Convert to fraction form
    157,157.57/216,882.05 = 85,542.23/x
  3. Step 3: Cross multiply
    157,157.57x = 216,882.05 × 85,542.23
  4. Step 4: Simplify right side
    157,157.57x = 18,552,572,691.85
  5. Step 5: Solve for x
    x = 18,552,572,691.85/157,157.57
  6. Step 6: Final answer
    x = 118,050.78

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1.5x scale

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.