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Finding the Fourth Proportional to 71,979.14, 107,765.12 and 38,168.12

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Solution

The fourth proportional to 71,979.14, 107,765.12 and 38,168.12 is: 57,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,979.14 : 107,765.12 = 38,168.12 : x
  2. Step 2: Convert to fraction form
    71,979.14/107,765.12 = 38,168.12/x
  3. Step 3: Cross multiply
    71,979.14x = 107,765.12 × 38,168.12
  4. Step 4: Simplify right side
    71,979.14x = 4,113,192,031.97
  5. Step 5: Solve for x
    x = 4,113,192,031.97/71,979.14
  6. Step 6: Final answer
    x = 57,144.22

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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.