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Finding the Fourth Proportional to 81.95, 113.67 and 75.87

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Solution

The fourth proportional to 81.95, 113.67 and 75.87 is: 105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.95 : 113.67 = 75.87 : x
  2. Step 2: Convert to fraction form
    81.95/113.67 = 75.87/x
  3. Step 3: Cross multiply
    81.95x = 113.67 × 75.87
  4. Step 4: Simplify right side
    81.95x = 8,624.14
  5. Step 5: Solve for x
    x = 8,624.14/81.95
  6. Step 6: Final answer
    x = 105.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.