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Finding the Fourth Proportional to 81,909.60, 122,864.43 and 22,745.28

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Solution

The fourth proportional to 81,909.60, 122,864.43 and 22,745.28 is: 34,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.60 : 122,864.43 = 22,745.28 : x
  2. Step 2: Convert to fraction form
    81,909.60/122,864.43 = 22,745.28/x
  3. Step 3: Cross multiply
    81,909.60x = 122,864.43 × 22,745.28
  4. Step 4: Simplify right side
    81,909.60x = 2,794,585,862.39
  5. Step 5: Solve for x
    x = 2,794,585,862.39/81,909.60
  6. Step 6: Final answer
    x = 34,117.93

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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.