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Finding the Fourth Proportional to 71,329.44, 106,981.20 and 21,397.80

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Solution

The fourth proportional to 71,329.44, 106,981.20 and 21,397.80 is: 32,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,329.44 : 106,981.20 = 21,397.80 : x
  2. Step 2: Convert to fraction form
    71,329.44/106,981.20 = 21,397.80/x
  3. Step 3: Cross multiply
    71,329.44x = 106,981.20 × 21,397.80
  4. Step 4: Simplify right side
    71,329.44x = 2,289,162,321.36
  5. Step 5: Solve for x
    x = 2,289,162,321.36/71,329.44
  6. Step 6: Final answer
    x = 32,092.81

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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.