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Finding the Fourth Proportional to 81,311.34, 121,963.14 and 33,906.90

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Solution

The fourth proportional to 81,311.34, 121,963.14 and 33,906.90 is: 50,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,311.34 : 121,963.14 = 33,906.90 : x
  2. Step 2: Convert to fraction form
    81,311.34/121,963.14 = 33,906.90/x
  3. Step 3: Cross multiply
    81,311.34x = 121,963.14 × 33,906.90
  4. Step 4: Simplify right side
    81,311.34x = 4,135,391,991.67
  5. Step 5: Solve for x
    x = 4,135,391,991.67/81,311.34
  6. Step 6: Final answer
    x = 50,858.74

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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.