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Finding the Fourth Proportional to 180,530.88, 270,951.84 and 87,115.20

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Solution

The fourth proportional to 180,530.88, 270,951.84 and 87,115.20 is: 130,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,530.88 : 270,951.84 = 87,115.20 : x
  2. Step 2: Convert to fraction form
    180,530.88/270,951.84 = 87,115.20/x
  3. Step 3: Cross multiply
    180,530.88x = 270,951.84 × 87,115.20
  4. Step 4: Simplify right side
    180,530.88x = 23,604,023,731.97
  5. Step 5: Solve for x
    x = 23,604,023,731.97/180,530.88
  6. Step 6: Final answer
    x = 130,747.85

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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.