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Finding the Fourth Proportional to 252,387.68, 378,499.57 and 83,862.74

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Solution

The fourth proportional to 252,387.68, 378,499.57 and 83,862.74 is: 125,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,387.68 : 378,499.57 = 83,862.74 : x
  2. Step 2: Convert to fraction form
    252,387.68/378,499.57 = 83,862.74/x
  3. Step 3: Cross multiply
    252,387.68x = 378,499.57 × 83,862.74
  4. Step 4: Simplify right side
    252,387.68x = 31,742,011,765.61
  5. Step 5: Solve for x
    x = 31,742,011,765.61/252,387.68
  6. Step 6: Final answer
    x = 125,766.89

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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.