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Finding the Fourth Proportional to 89,517.80, 123,524.88 and 51,785

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Solution

The fourth proportional to 89,517.80, 123,524.88 and 51,785 is: 71,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,517.80 : 123,524.88 = 51,785 : x
  2. Step 2: Convert to fraction form
    89,517.80/123,524.88 = 51,785/x
  3. Step 3: Cross multiply
    89,517.80x = 123,524.88 × 51,785
  4. Step 4: Simplify right side
    89,517.80x = 6,396,735,910.80
  5. Step 5: Solve for x
    x = 6,396,735,910.80/89,517.80
  6. Step 6: Final answer
    x = 71,457.70

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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.