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Finding the Fourth Proportional to 84,591.98, 126,874.20 and 31,988.96

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Solution

The fourth proportional to 84,591.98, 126,874.20 and 31,988.96 is: 47,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,591.98 : 126,874.20 = 31,988.96 : x
  2. Step 2: Convert to fraction form
    84,591.98/126,874.20 = 31,988.96/x
  3. Step 3: Cross multiply
    84,591.98x = 126,874.20 × 31,988.96
  4. Step 4: Simplify right side
    84,591.98x = 4,058,573,708.83
  5. Step 5: Solve for x
    x = 4,058,573,708.83/84,591.98
  6. Step 6: Final answer
    x = 47,978.23

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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.