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Finding the Fourth Proportional to 84,422.88, 126,587.56 and 34,538

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Solution

The fourth proportional to 84,422.88, 126,587.56 and 34,538 is: 51,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422.88 : 126,587.56 = 34,538 : x
  2. Step 2: Convert to fraction form
    84,422.88/126,587.56 = 34,538/x
  3. Step 3: Cross multiply
    84,422.88x = 126,587.56 × 34,538
  4. Step 4: Simplify right side
    84,422.88x = 4,372,081,147.28
  5. Step 5: Solve for x
    x = 4,372,081,147.28/84,422.88
  6. Step 6: Final answer
    x = 51,787.87

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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.