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Finding the Fourth Proportional to 83.07, 123.82 and 80.45

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Solution

The fourth proportional to 83.07, 123.82 and 80.45 is: 119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.07 : 123.82 = 80.45 : x
  2. Step 2: Convert to fraction form
    83.07/123.82 = 80.45/x
  3. Step 3: Cross multiply
    83.07x = 123.82 × 80.45
  4. Step 4: Simplify right side
    83.07x = 9,960.50
  5. Step 5: Solve for x
    x = 9,960.50/83.07
  6. Step 6: Final answer
    x = 119.90

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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.