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Finding the Fourth Proportional to 115.84, 173.14 and 81.48

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Solution

The fourth proportional to 115.84, 173.14 and 81.48 is: 121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 173.14 = 81.48 : x
  2. Step 2: Convert to fraction form
    115.84/173.14 = 81.48/x
  3. Step 3: Cross multiply
    115.84x = 173.14 × 81.48
  4. Step 4: Simplify right side
    115.84x = 14,107.45
  5. Step 5: Solve for x
    x = 14,107.45/115.84
  6. Step 6: Final answer
    x = 121.78

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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.