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Finding the Fourth Proportional to 71,752.54, 107,645.19 and 21,839.71

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Solution

The fourth proportional to 71,752.54, 107,645.19 and 21,839.71 is: 32,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.54 : 107,645.19 = 21,839.71 : x
  2. Step 2: Convert to fraction form
    71,752.54/107,645.19 = 21,839.71/x
  3. Step 3: Cross multiply
    71,752.54x = 107,645.19 × 21,839.71
  4. Step 4: Simplify right side
    71,752.54x = 2,350,939,732.49
  5. Step 5: Solve for x
    x = 2,350,939,732.49/71,752.54
  6. Step 6: Final answer
    x = 32,764.55

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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.