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Finding the Fourth Proportional to 78,472.88, 108,213.10 and 67,179.78

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Solution

The fourth proportional to 78,472.88, 108,213.10 and 67,179.78 is: 92,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472.88 : 108,213.10 = 67,179.78 : x
  2. Step 2: Convert to fraction form
    78,472.88/108,213.10 = 67,179.78/x
  3. Step 3: Cross multiply
    78,472.88x = 108,213.10 × 67,179.78
  4. Step 4: Simplify right side
    78,472.88x = 7,269,732,251.12
  5. Step 5: Solve for x
    x = 7,269,732,251.12/78,472.88
  6. Step 6: Final answer
    x = 92,640.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.