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Finding the Fourth Proportional to 71,909.68, 107,868.24 and 21,997.36

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Solution

The fourth proportional to 71,909.68, 107,868.24 and 21,997.36 is: 32,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,909.68 : 107,868.24 = 21,997.36 : x
  2. Step 2: Convert to fraction form
    71,909.68/107,868.24 = 21,997.36/x
  3. Step 3: Cross multiply
    71,909.68x = 107,868.24 × 21,997.36
  4. Step 4: Simplify right side
    71,909.68x = 2,372,816,507.85
  5. Step 5: Solve for x
    x = 2,372,816,507.85/71,909.68
  6. Step 6: Final answer
    x = 32,997.18

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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.