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Finding the Fourth Proportional to 81,489.81, 122,234.82 and 22,326

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Solution

The fourth proportional to 81,489.81, 122,234.82 and 22,326 is: 33,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,489.81 : 122,234.82 = 22,326 : x
  2. Step 2: Convert to fraction form
    81,489.81/122,234.82 = 22,326/x
  3. Step 3: Cross multiply
    81,489.81x = 122,234.82 × 22,326
  4. Step 4: Simplify right side
    81,489.81x = 2,729,014,591.32
  5. Step 5: Solve for x
    x = 2,729,014,591.32/81,489.81
  6. Step 6: Final answer
    x = 33,489.03

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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.