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Finding the Fourth Proportional to 83.71, 124.68 and 79.59

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Solution

The fourth proportional to 83.71, 124.68 and 79.59 is: 118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.71 : 124.68 = 79.59 : x
  2. Step 2: Convert to fraction form
    83.71/124.68 = 79.59/x
  3. Step 3: Cross multiply
    83.71x = 124.68 × 79.59
  4. Step 4: Simplify right side
    83.71x = 9,923.28
  5. Step 5: Solve for x
    x = 9,923.28/83.71
  6. Step 6: Final answer
    x = 118.54

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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.