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Finding the Fourth Proportional to 87,591.34, 120,876 and 47,305.08

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Solution

The fourth proportional to 87,591.34, 120,876 and 47,305.08 is: 65,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,591.34 : 120,876 = 47,305.08 : x
  2. Step 2: Convert to fraction form
    87,591.34/120,876 = 47,305.08/x
  3. Step 3: Cross multiply
    87,591.34x = 120,876 × 47,305.08
  4. Step 4: Simplify right side
    87,591.34x = 5,718,048,850.08
  5. Step 5: Solve for x
    x = 5,718,048,850.08/87,591.34
  6. Step 6: Final answer
    x = 65,280.98

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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.