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Finding the Fourth Proportional to 83.54, 124.31 and 79.25

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Solution

The fourth proportional to 83.54, 124.31 and 79.25 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.54 : 124.31 = 79.25 : x
  2. Step 2: Convert to fraction form
    83.54/124.31 = 79.25/x
  3. Step 3: Cross multiply
    83.54x = 124.31 × 79.25
  4. Step 4: Simplify right side
    83.54x = 9,851.57
  5. Step 5: Solve for x
    x = 9,851.57/83.54
  6. Step 6: Final answer
    x = 117.93

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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.