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Finding the Fourth Proportional to 81.76, 122.46 and 52.89

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Solution

The fourth proportional to 81.76, 122.46 and 52.89 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.76 : 122.46 = 52.89 : x
  2. Step 2: Convert to fraction form
    81.76/122.46 = 52.89/x
  3. Step 3: Cross multiply
    81.76x = 122.46 × 52.89
  4. Step 4: Simplify right side
    81.76x = 6,476.30
  5. Step 5: Solve for x
    x = 6,476.30/81.76
  6. Step 6: Final answer
    x = 79.21

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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.