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Finding the Fourth Proportional to 71,705.52, 107,543.66 and 68,148.90

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Solution

The fourth proportional to 71,705.52, 107,543.66 and 68,148.90 is: 102,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.52 : 107,543.66 = 68,148.90 : x
  2. Step 2: Convert to fraction form
    71,705.52/107,543.66 = 68,148.90/x
  3. Step 3: Cross multiply
    71,705.52x = 107,543.66 × 68,148.90
  4. Step 4: Simplify right side
    71,705.52x = 7,328,981,790.23
  5. Step 5: Solve for x
    x = 7,328,981,790.23/71,705.52
  6. Step 6: Final answer
    x = 102,209.45

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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.