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Finding the Fourth Proportional to 83.11, 123.77 and 78.46

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Solution

The fourth proportional to 83.11, 123.77 and 78.46 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 123.77 = 78.46 : x
  2. Step 2: Convert to fraction form
    83.11/123.77 = 78.46/x
  3. Step 3: Cross multiply
    83.11x = 123.77 × 78.46
  4. Step 4: Simplify right side
    83.11x = 9,710.99
  5. Step 5: Solve for x
    x = 9,710.99/83.11
  6. Step 6: Final answer
    x = 116.85

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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.