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Finding the Fourth Proportional to 95.87, 142.91 and 91.82

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Solution

The fourth proportional to 95.87, 142.91 and 91.82 is: 136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.87 : 142.91 = 91.82 : x
  2. Step 2: Convert to fraction form
    95.87/142.91 = 91.82/x
  3. Step 3: Cross multiply
    95.87x = 142.91 × 91.82
  4. Step 4: Simplify right side
    95.87x = 13,120.82
  5. Step 5: Solve for x
    x = 13,120.82/95.87
  6. Step 6: Final answer
    x = 136.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.