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Finding the Fourth Proportional to 57,408.92, 86,132.82 and 25,815.68

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Solution

The fourth proportional to 57,408.92, 86,132.82 and 25,815.68 is: 38,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.92 : 86,132.82 = 25,815.68 : x
  2. Step 2: Convert to fraction form
    57,408.92/86,132.82 = 25,815.68/x
  3. Step 3: Cross multiply
    57,408.92x = 86,132.82 × 25,815.68
  4. Step 4: Simplify right side
    57,408.92x = 2,223,577,318.62
  5. Step 5: Solve for x
    x = 2,223,577,318.62/57,408.92
  6. Step 6: Final answer
    x = 38,732.26

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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.