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Finding the Fourth Proportional to 81.98, 122.96 and 49.85

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Solution

The fourth proportional to 81.98, 122.96 and 49.85 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 122.96 = 49.85 : x
  2. Step 2: Convert to fraction form
    81.98/122.96 = 49.85/x
  3. Step 3: Cross multiply
    81.98x = 122.96 × 49.85
  4. Step 4: Simplify right side
    81.98x = 6,129.56
  5. Step 5: Solve for x
    x = 6,129.56/81.98
  6. Step 6: Final answer
    x = 74.77

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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.