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Finding the Fourth Proportional to 82,711.80, 123,930.90 and 47,590.20

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Solution

The fourth proportional to 82,711.80, 123,930.90 and 47,590.20 is: 71,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,711.80 : 123,930.90 = 47,590.20 : x
  2. Step 2: Convert to fraction form
    82,711.80/123,930.90 = 47,590.20/x
  3. Step 3: Cross multiply
    82,711.80x = 123,930.90 × 47,590.20
  4. Step 4: Simplify right side
    82,711.80x = 5,897,896,317.18
  5. Step 5: Solve for x
    x = 5,897,896,317.18/82,711.80
  6. Step 6: Final answer
    x = 71,306.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.