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Finding the Fourth Proportional to 81,657.77, 122,438.97 and 31,679.47

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Solution

The fourth proportional to 81,657.77, 122,438.97 and 31,679.47 is: 47,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,657.77 : 122,438.97 = 31,679.47 : x
  2. Step 2: Convert to fraction form
    81,657.77/122,438.97 = 31,679.47/x
  3. Step 3: Cross multiply
    81,657.77x = 122,438.97 × 31,679.47
  4. Step 4: Simplify right side
    81,657.77x = 3,878,800,906.35
  5. Step 5: Solve for x
    x = 3,878,800,906.35/81,657.77
  6. Step 6: Final answer
    x = 47,500.70

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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.