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Finding the Fourth Proportional to 252,295.71, 378,379.08 and 74,761.20

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Solution

The fourth proportional to 252,295.71, 378,379.08 and 74,761.20 is: 112,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,295.71 : 378,379.08 = 74,761.20 : x
  2. Step 2: Convert to fraction form
    252,295.71/378,379.08 = 74,761.20/x
  3. Step 3: Cross multiply
    252,295.71x = 378,379.08 × 74,761.20
  4. Step 4: Simplify right side
    252,295.71x = 28,288,073,865.43
  5. Step 5: Solve for x
    x = 28,288,073,865.43/252,295.71
  6. Step 6: Final answer
    x = 112,122.69

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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.