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Finding the Fourth Proportional to 71,170.80, 106,789.41 and 31,723.80

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Solution

The fourth proportional to 71,170.80, 106,789.41 and 31,723.80 is: 47,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,170.80 : 106,789.41 = 31,723.80 : x
  2. Step 2: Convert to fraction form
    71,170.80/106,789.41 = 31,723.80/x
  3. Step 3: Cross multiply
    71,170.80x = 106,789.41 × 31,723.80
  4. Step 4: Simplify right side
    71,170.80x = 3,387,765,884.96
  5. Step 5: Solve for x
    x = 3,387,765,884.96/71,170.80
  6. Step 6: Final answer
    x = 47,600.50

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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.