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Finding the Fourth Proportional to 83,574.10, 125,251.80 and 33,613.30

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Solution

The fourth proportional to 83,574.10, 125,251.80 and 33,613.30 is: 50,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.10 : 125,251.80 = 33,613.30 : x
  2. Step 2: Convert to fraction form
    83,574.10/125,251.80 = 33,613.30/x
  3. Step 3: Cross multiply
    83,574.10x = 125,251.80 × 33,613.30
  4. Step 4: Simplify right side
    83,574.10x = 4,210,126,328.94
  5. Step 5: Solve for x
    x = 4,210,126,328.94/83,574.10
  6. Step 6: Final answer
    x = 50,375.97

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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.