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Finding the Fourth Proportional to 71,424.96, 107,153.28 and 21,508.80

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Solution

The fourth proportional to 71,424.96, 107,153.28 and 21,508.80 is: 32,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424.96 : 107,153.28 = 21,508.80 : x
  2. Step 2: Convert to fraction form
    71,424.96/107,153.28 = 21,508.80/x
  3. Step 3: Cross multiply
    71,424.96x = 107,153.28 × 21,508.80
  4. Step 4: Simplify right side
    71,424.96x = 2,304,738,468.86
  5. Step 5: Solve for x
    x = 2,304,738,468.86/71,424.96
  6. Step 6: Final answer
    x = 32,267.97

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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.