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Finding the Fourth Proportional to 81,578.16, 122,367.18 and 22,414.14

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Solution

The fourth proportional to 81,578.16, 122,367.18 and 22,414.14 is: 33,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578.16 : 122,367.18 = 22,414.14 : x
  2. Step 2: Convert to fraction form
    81,578.16/122,367.18 = 22,414.14/x
  3. Step 3: Cross multiply
    81,578.16x = 122,367.18 × 22,414.14
  4. Step 4: Simplify right side
    81,578.16x = 2,742,755,103.93
  5. Step 5: Solve for x
    x = 2,742,755,103.93/81,578.16
  6. Step 6: Final answer
    x = 33,621.19

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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.