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Finding the Fourth Proportional to 81,398.60, 122,081.44 and 22,229.36

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Solution

The fourth proportional to 81,398.60, 122,081.44 and 22,229.36 is: 33,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398.60 : 122,081.44 = 22,229.36 : x
  2. Step 2: Convert to fraction form
    81,398.60/122,081.44 = 22,229.36/x
  3. Step 3: Cross multiply
    81,398.60x = 122,081.44 × 22,229.36
  4. Step 4: Simplify right side
    81,398.60x = 2,713,792,279.08
  5. Step 5: Solve for x
    x = 2,713,792,279.08/81,398.60
  6. Step 6: Final answer
    x = 33,339.54

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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.