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Finding the Fourth Proportional to 204,138.29, 281,726.61 and 122,469.61

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Solution

The fourth proportional to 204,138.29, 281,726.61 and 122,469.61 is: 169,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,138.29 : 281,726.61 = 122,469.61 : x
  2. Step 2: Convert to fraction form
    204,138.29/281,726.61 = 122,469.61/x
  3. Step 3: Cross multiply
    204,138.29x = 281,726.61 × 122,469.61
  4. Step 4: Simplify right side
    204,138.29x = 34,502,947,440.97
  5. Step 5: Solve for x
    x = 34,502,947,440.97/204,138.29
  6. Step 6: Final answer
    x = 169,017.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.