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Finding the Fourth Proportional to 83.07, 123.71 and 80.46

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Solution

The fourth proportional to 83.07, 123.71 and 80.46 is: 119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.07 : 123.71 = 80.46 : x
  2. Step 2: Convert to fraction form
    83.07/123.71 = 80.46/x
  3. Step 3: Cross multiply
    83.07x = 123.71 × 80.46
  4. Step 4: Simplify right side
    83.07x = 9,953.30
  5. Step 5: Solve for x
    x = 9,953.30/83.07
  6. Step 6: Final answer
    x = 119.82

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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.