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Finding the Fourth Proportional to 80,865, 111,593.70 and 47,331

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Solution

The fourth proportional to 80,865, 111,593.70 and 47,331 is: 65,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,865 : 111,593.70 = 47,331 : x
  2. Step 2: Convert to fraction form
    80,865/111,593.70 = 47,331/x
  3. Step 3: Cross multiply
    80,865x = 111,593.70 × 47,331
  4. Step 4: Simplify right side
    80,865x = 5,281,841,414.70
  5. Step 5: Solve for x
    x = 5,281,841,414.70/80,865
  6. Step 6: Final answer
    x = 65,316.78

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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.