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Finding the Fourth Proportional to 281,344.47, 422,058.22 and 81,638.90

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Solution

The fourth proportional to 281,344.47, 422,058.22 and 81,638.90 is: 122,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,344.47 : 422,058.22 = 81,638.90 : x
  2. Step 2: Convert to fraction form
    281,344.47/422,058.22 = 81,638.90/x
  3. Step 3: Cross multiply
    281,344.47x = 422,058.22 × 81,638.90
  4. Step 4: Simplify right side
    281,344.47x = 34,456,367,127.66
  5. Step 5: Solve for x
    x = 34,456,367,127.66/281,344.47
  6. Step 6: Final answer
    x = 122,470.39

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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.