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Finding the Fourth Proportional to 83.11, 123.93 and 77.34

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Solution

The fourth proportional to 83.11, 123.93 and 77.34 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 123.93 = 77.34 : x
  2. Step 2: Convert to fraction form
    83.11/123.93 = 77.34/x
  3. Step 3: Cross multiply
    83.11x = 123.93 × 77.34
  4. Step 4: Simplify right side
    83.11x = 9,584.21
  5. Step 5: Solve for x
    x = 9,584.21/83.11
  6. Step 6: Final answer
    x = 115.32

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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.