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Finding the Fourth Proportional to 231,775.77, 347,717.85 and 71,843.31

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Solution

The fourth proportional to 231,775.77, 347,717.85 and 71,843.31 is: 107,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,775.77 : 347,717.85 = 71,843.31 : x
  2. Step 2: Convert to fraction form
    231,775.77/347,717.85 = 71,843.31/x
  3. Step 3: Cross multiply
    231,775.77x = 347,717.85 × 71,843.31
  4. Step 4: Simplify right side
    231,775.77x = 24,981,201,290.08
  5. Step 5: Solve for x
    x = 24,981,201,290.08/231,775.77
  6. Step 6: Final answer
    x = 107,781.76

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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.