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Finding the Fourth Proportional to 81,657.85, 122,439.10 and 31,679.55

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Solution

The fourth proportional to 81,657.85, 122,439.10 and 31,679.55 is: 47,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,657.85 : 122,439.10 = 31,679.55 : x
  2. Step 2: Convert to fraction form
    81,657.85/122,439.10 = 31,679.55/x
  3. Step 3: Cross multiply
    81,657.85x = 122,439.10 × 31,679.55
  4. Step 4: Simplify right side
    81,657.85x = 3,878,815,590.41
  5. Step 5: Solve for x
    x = 3,878,815,590.41/81,657.85
  6. Step 6: Final answer
    x = 47,500.83

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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.