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Finding the Fourth Proportional to 95.82, 143.91 and 87.78

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Solution

The fourth proportional to 95.82, 143.91 and 87.78 is: 131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 143.91 = 87.78 : x
  2. Step 2: Convert to fraction form
    95.82/143.91 = 87.78/x
  3. Step 3: Cross multiply
    95.82x = 143.91 × 87.78
  4. Step 4: Simplify right side
    95.82x = 12,632.42
  5. Step 5: Solve for x
    x = 12,632.42/95.82
  6. Step 6: Final answer
    x = 131.83

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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.