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Finding the Fourth Proportional to 275,439.92, 413,161.70 and 75,781.40

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Solution

The fourth proportional to 275,439.92, 413,161.70 and 75,781.40 is: 113,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,439.92 : 413,161.70 = 75,781.40 : x
  2. Step 2: Convert to fraction form
    275,439.92/413,161.70 = 75,781.40/x
  3. Step 3: Cross multiply
    275,439.92x = 413,161.70 × 75,781.40
  4. Step 4: Simplify right side
    275,439.92x = 31,309,969,607.66
  5. Step 5: Solve for x
    x = 31,309,969,607.66/275,439.92
  6. Step 6: Final answer
    x = 113,672.59

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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.