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Finding the Fourth Proportional to 132,591.22, 198,885.76 and 87,813

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Solution

The fourth proportional to 132,591.22, 198,885.76 and 87,813 is: 131,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,591.22 : 198,885.76 = 87,813 : x
  2. Step 2: Convert to fraction form
    132,591.22/198,885.76 = 87,813/x
  3. Step 3: Cross multiply
    132,591.22x = 198,885.76 × 87,813
  4. Step 4: Simplify right side
    132,591.22x = 17,464,755,023.35
  5. Step 5: Solve for x
    x = 17,464,755,023.35/132,591.22
  6. Step 6: Final answer
    x = 131,718.79

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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.