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Finding the Fourth Proportional to 57,412.92, 86,067.48 and 20,468.28

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Solution

The fourth proportional to 57,412.92, 86,067.48 and 20,468.28 is: 30,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.92 : 86,067.48 = 20,468.28 : x
  2. Step 2: Convert to fraction form
    57,412.92/86,067.48 = 20,468.28/x
  3. Step 3: Cross multiply
    57,412.92x = 86,067.48 × 20,468.28
  4. Step 4: Simplify right side
    57,412.92x = 1,761,653,279.53
  5. Step 5: Solve for x
    x = 1,761,653,279.53/57,412.92
  6. Step 6: Final answer
    x = 30,683.92

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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.