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Finding the Fourth Proportional to 95.65, 143.34 and 81.87

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Solution

The fourth proportional to 95.65, 143.34 and 81.87 is: 122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.65 : 143.34 = 81.87 : x
  2. Step 2: Convert to fraction form
    95.65/143.34 = 81.87/x
  3. Step 3: Cross multiply
    95.65x = 143.34 × 81.87
  4. Step 4: Simplify right side
    95.65x = 11,735.25
  5. Step 5: Solve for x
    x = 11,735.25/95.65
  6. Step 6: Final answer
    x = 122.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.