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Finding the Fourth Proportional to 82.38, 123.99 and 77.97

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Solution

The fourth proportional to 82.38, 123.99 and 77.97 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 123.99 = 77.97 : x
  2. Step 2: Convert to fraction form
    82.38/123.99 = 77.97/x
  3. Step 3: Cross multiply
    82.38x = 123.99 × 77.97
  4. Step 4: Simplify right side
    82.38x = 9,667.11
  5. Step 5: Solve for x
    x = 9,667.11/82.38
  6. Step 6: Final answer
    x = 117.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.