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Finding the Fourth Proportional to 81,241.89, 121,865.34 and 22,078.83

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Solution

The fourth proportional to 81,241.89, 121,865.34 and 22,078.83 is: 33,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,241.89 : 121,865.34 = 22,078.83 : x
  2. Step 2: Convert to fraction form
    81,241.89/121,865.34 = 22,078.83/x
  3. Step 3: Cross multiply
    81,241.89x = 121,865.34 × 22,078.83
  4. Step 4: Simplify right side
    81,241.89x = 2,690,644,124.75
  5. Step 5: Solve for x
    x = 2,690,644,124.75/81,241.89
  6. Step 6: Final answer
    x = 33,118.93

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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.