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Finding the Fourth Proportional to 115.90, 173.61 and 81.19

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Solution

The fourth proportional to 115.90, 173.61 and 81.19 is: 121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.90 : 173.61 = 81.19 : x
  2. Step 2: Convert to fraction form
    115.90/173.61 = 81.19/x
  3. Step 3: Cross multiply
    115.90x = 173.61 × 81.19
  4. Step 4: Simplify right side
    115.90x = 14,094.53
  5. Step 5: Solve for x
    x = 14,094.53/115.90
  6. Step 6: Final answer
    x = 121.61

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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.