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Finding the Fourth Proportional to 81,177.82, 121,766.42 and 22,013.32

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Solution

The fourth proportional to 81,177.82, 121,766.42 and 22,013.32 is: 33,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,177.82 : 121,766.42 = 22,013.32 : x
  2. Step 2: Convert to fraction form
    81,177.82/121,766.42 = 22,013.32/x
  3. Step 3: Cross multiply
    81,177.82x = 121,766.42 × 22,013.32
  4. Step 4: Simplify right side
    81,177.82x = 2,680,483,168.71
  5. Step 5: Solve for x
    x = 2,680,483,168.71/81,177.82
  6. Step 6: Final answer
    x = 33,019.90

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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.