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Finding the Fourth Proportional to 82.57, 123.07 and 80.09

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Solution

The fourth proportional to 82.57, 123.07 and 80.09 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 123.07 = 80.09 : x
  2. Step 2: Convert to fraction form
    82.57/123.07 = 80.09/x
  3. Step 3: Cross multiply
    82.57x = 123.07 × 80.09
  4. Step 4: Simplify right side
    82.57x = 9,856.47
  5. Step 5: Solve for x
    x = 9,856.47/82.57
  6. Step 6: Final answer
    x = 119.37

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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.