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Finding the Fourth Proportional to 81.78, 122.04 and 71.52

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Solution

The fourth proportional to 81.78, 122.04 and 71.52 is: 106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.78 : 122.04 = 71.52 : x
  2. Step 2: Convert to fraction form
    81.78/122.04 = 71.52/x
  3. Step 3: Cross multiply
    81.78x = 122.04 × 71.52
  4. Step 4: Simplify right side
    81.78x = 8,728.30
  5. Step 5: Solve for x
    x = 8,728.30/81.78
  6. Step 6: Final answer
    x = 106.73

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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.