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Finding the Fourth Proportional to 95.76, 144.24 and 86.88

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Solution

The fourth proportional to 95.76, 144.24 and 86.88 is: 130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.76 : 144.24 = 86.88 : x
  2. Step 2: Convert to fraction form
    95.76/144.24 = 86.88/x
  3. Step 3: Cross multiply
    95.76x = 144.24 × 86.88
  4. Step 4: Simplify right side
    95.76x = 12,531.57
  5. Step 5: Solve for x
    x = 12,531.57/95.76
  6. Step 6: Final answer
    x = 130.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.