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Finding the Fourth Proportional to 89,207.88, 123,042.42 and 75,757.92

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Solution

The fourth proportional to 89,207.88, 123,042.42 and 75,757.92 is: 104,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,207.88 : 123,042.42 = 75,757.92 : x
  2. Step 2: Convert to fraction form
    89,207.88/123,042.42 = 75,757.92/x
  3. Step 3: Cross multiply
    89,207.88x = 123,042.42 × 75,757.92
  4. Step 4: Simplify right side
    89,207.88x = 9,321,437,810.97
  5. Step 5: Solve for x
    x = 9,321,437,810.97/89,207.88
  6. Step 6: Final answer
    x = 104,491.19

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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.