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Finding the Fourth Proportional to 157,229.20, 216,982.02 and 85,605.76

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Solution

The fourth proportional to 157,229.20, 216,982.02 and 85,605.76 is: 118,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,229.20 : 216,982.02 = 85,605.76 : x
  2. Step 2: Convert to fraction form
    157,229.20/216,982.02 = 85,605.76/x
  3. Step 3: Cross multiply
    157,229.20x = 216,982.02 × 85,605.76
  4. Step 4: Simplify right side
    157,229.20x = 18,574,910,728.44
  5. Step 5: Solve for x
    x = 18,574,910,728.44/157,229.20
  6. Step 6: Final answer
    x = 118,139.07

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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.