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Finding the Fourth Proportional to 71,545.20, 107,317.80 and 36,553.20

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Solution

The fourth proportional to 71,545.20, 107,317.80 and 36,553.20 is: 54,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,545.20 : 107,317.80 = 36,553.20 : x
  2. Step 2: Convert to fraction form
    71,545.20/107,317.80 = 36,553.20/x
  3. Step 3: Cross multiply
    71,545.20x = 107,317.80 × 36,553.20
  4. Step 4: Simplify right side
    71,545.20x = 3,922,809,006.96
  5. Step 5: Solve for x
    x = 3,922,809,006.96/71,545.20
  6. Step 6: Final answer
    x = 54,829.80

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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.