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Finding the Fourth Proportional to 81.62, 122.42 and 23.84

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Solution

The fourth proportional to 81.62, 122.42 and 23.84 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.62 : 122.42 = 23.84 : x
  2. Step 2: Convert to fraction form
    81.62/122.42 = 23.84/x
  3. Step 3: Cross multiply
    81.62x = 122.42 × 23.84
  4. Step 4: Simplify right side
    81.62x = 2,917.76
  5. Step 5: Solve for x
    x = 2,917.76/81.62
  6. Step 6: Final answer
    x = 35.75

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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.