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Finding the Fourth Proportional to 71,750.20, 107,619.90 and 31,781.56

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Solution

The fourth proportional to 71,750.20, 107,619.90 and 31,781.56 is: 47,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,750.20 : 107,619.90 = 31,781.56 : x
  2. Step 2: Convert to fraction form
    71,750.20/107,619.90 = 31,781.56/x
  3. Step 3: Cross multiply
    71,750.20x = 107,619.90 × 31,781.56
  4. Step 4: Simplify right side
    71,750.20x = 3,420,328,309.04
  5. Step 5: Solve for x
    x = 3,420,328,309.04/71,750.20
  6. Step 6: Final answer
    x = 47,669.95

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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.