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Finding the Fourth Proportional to 82.09, 122.36 and 81.82

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Solution

The fourth proportional to 82.09, 122.36 and 81.82 is: 121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 122.36 = 81.82 : x
  2. Step 2: Convert to fraction form
    82.09/122.36 = 81.82/x
  3. Step 3: Cross multiply
    82.09x = 122.36 × 81.82
  4. Step 4: Simplify right side
    82.09x = 10,011.50
  5. Step 5: Solve for x
    x = 10,011.50/82.09
  6. Step 6: Final answer
    x = 121.96

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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.