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Finding the Fourth Proportional to 71,438.28, 107,149.89 and 29,322.80

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Solution

The fourth proportional to 71,438.28, 107,149.89 and 29,322.80 is: 43,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438.28 : 107,149.89 = 29,322.80 : x
  2. Step 2: Convert to fraction form
    71,438.28/107,149.89 = 29,322.80/x
  3. Step 3: Cross multiply
    71,438.28x = 107,149.89 × 29,322.80
  4. Step 4: Simplify right side
    71,438.28x = 3,141,934,794.49
  5. Step 5: Solve for x
    x = 3,141,934,794.49/71,438.28
  6. Step 6: Final answer
    x = 43,981.11

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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.