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Finding the Fourth Proportional to 83.12, 123.84 and 79.04

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Solution

The fourth proportional to 83.12, 123.84 and 79.04 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.12 : 123.84 = 79.04 : x
  2. Step 2: Convert to fraction form
    83.12/123.84 = 79.04/x
  3. Step 3: Cross multiply
    83.12x = 123.84 × 79.04
  4. Step 4: Simplify right side
    83.12x = 9,788.31
  5. Step 5: Solve for x
    x = 9,788.31/83.12
  6. Step 6: Final answer
    x = 117.76

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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.