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Finding the Fourth Proportional to 123,508.08, 170,397.54 and 75,744

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Solution

The fourth proportional to 123,508.08, 170,397.54 and 75,744 is: 104,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,508.08 : 170,397.54 = 75,744 : x
  2. Step 2: Convert to fraction form
    123,508.08/170,397.54 = 75,744/x
  3. Step 3: Cross multiply
    123,508.08x = 170,397.54 × 75,744
  4. Step 4: Simplify right side
    123,508.08x = 12,906,591,269.76
  5. Step 5: Solve for x
    x = 12,906,591,269.76/123,508.08
  6. Step 6: Final answer
    x = 104,499.97

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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.