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Finding the Fourth Proportional to 204,138.54, 281,720.53 and 113,503.79

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Solution

The fourth proportional to 204,138.54, 281,720.53 and 113,503.79 is: 156,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,138.54 : 281,720.53 = 113,503.79 : x
  2. Step 2: Convert to fraction form
    204,138.54/281,720.53 = 113,503.79/x
  3. Step 3: Cross multiply
    204,138.54x = 281,720.53 × 113,503.79
  4. Step 4: Simplify right side
    204,138.54x = 31,976,348,721.99
  5. Step 5: Solve for x
    x = 31,976,348,721.99/204,138.54
  6. Step 6: Final answer
    x = 156,640.43

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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.