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Finding the Fourth Proportional to 82.01, 122.87 and 49.88

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Solution

The fourth proportional to 82.01, 122.87 and 49.88 is: 74.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.01 : 122.87 = 49.88 : x
  2. Step 2: Convert to fraction form
    82.01/122.87 = 49.88/x
  3. Step 3: Cross multiply
    82.01x = 122.87 × 49.88
  4. Step 4: Simplify right side
    82.01x = 6,128.14
  5. Step 5: Solve for x
    x = 6,128.14/82.01
  6. Step 6: Final answer
    x = 74.73

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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.