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Finding the Fourth Proportional to 81,412.40, 122,105.86 and 22,252.68

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Solution

The fourth proportional to 81,412.40, 122,105.86 and 22,252.68 is: 33,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412.40 : 122,105.86 = 22,252.68 : x
  2. Step 2: Convert to fraction form
    81,412.40/122,105.86 = 22,252.68/x
  3. Step 3: Cross multiply
    81,412.40x = 122,105.86 × 22,252.68
  4. Step 4: Simplify right side
    81,412.40x = 2,717,182,628.70
  5. Step 5: Solve for x
    x = 2,717,182,628.70/81,412.40
  6. Step 6: Final answer
    x = 33,375.54

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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.