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Finding the Fourth Proportional to 71,334.60, 107,001.68 and 21,414.50

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Solution

The fourth proportional to 71,334.60, 107,001.68 and 21,414.50 is: 32,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,334.60 : 107,001.68 = 21,414.50 : x
  2. Step 2: Convert to fraction form
    71,334.60/107,001.68 = 21,414.50/x
  3. Step 3: Cross multiply
    71,334.60x = 107,001.68 × 21,414.50
  4. Step 4: Simplify right side
    71,334.60x = 2,291,387,476.36
  5. Step 5: Solve for x
    x = 2,291,387,476.36/71,334.60
  6. Step 6: Final answer
    x = 32,121.68

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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.