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Finding the Fourth Proportional to 129,006.52, 178,023.80 and 71,648.80

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Solution

The fourth proportional to 129,006.52, 178,023.80 and 71,648.80 is: 98,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,006.52 : 178,023.80 = 71,648.80 : x
  2. Step 2: Convert to fraction form
    129,006.52/178,023.80 = 71,648.80/x
  3. Step 3: Cross multiply
    129,006.52x = 178,023.80 × 71,648.80
  4. Step 4: Simplify right side
    129,006.52x = 12,755,191,641.44
  5. Step 5: Solve for x
    x = 12,755,191,641.44/129,006.52
  6. Step 6: Final answer
    x = 98,872.46

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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.