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Finding the Fourth Proportional to 82,630.73, 123,753.87 and 80,357.87

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Solution

The fourth proportional to 82,630.73, 123,753.87 and 80,357.87 is: 120,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,630.73 : 123,753.87 = 80,357.87 : x
  2. Step 2: Convert to fraction form
    82,630.73/123,753.87 = 80,357.87/x
  3. Step 3: Cross multiply
    82,630.73x = 123,753.87 × 80,357.87
  4. Step 4: Simplify right side
    82,630.73x = 9,944,597,397.46
  5. Step 5: Solve for x
    x = 9,944,597,397.46/82,630.73
  6. Step 6: Final answer
    x = 120,349.87

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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.