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Finding the Fourth Proportional to 94.38, 140.78 and 83.04

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Solution

The fourth proportional to 94.38, 140.78 and 83.04 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.38 : 140.78 = 83.04 : x
  2. Step 2: Convert to fraction form
    94.38/140.78 = 83.04/x
  3. Step 3: Cross multiply
    94.38x = 140.78 × 83.04
  4. Step 4: Simplify right side
    94.38x = 11,689.96
  5. Step 5: Solve for x
    x = 11,689.96/94.38
  6. Step 6: Final answer
    x = 123.86

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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.