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Finding the Fourth Proportional to 83,357.29, 125,306.88 and 66,897.68

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Solution

The fourth proportional to 83,357.29, 125,306.88 and 66,897.68 is: 100,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357.29 : 125,306.88 = 66,897.68 : x
  2. Step 2: Convert to fraction form
    83,357.29/125,306.88 = 66,897.68/x
  3. Step 3: Cross multiply
    83,357.29x = 125,306.88 × 66,897.68
  4. Step 4: Simplify right side
    83,357.29x = 8,382,739,225.55
  5. Step 5: Solve for x
    x = 8,382,739,225.55/83,357.29
  6. Step 6: Final answer
    x = 100,563.97

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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.