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Finding the Fourth Proportional to 83.84, 125.17 and 69.40

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Solution

The fourth proportional to 83.84, 125.17 and 69.40 is: 103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 125.17 = 69.40 : x
  2. Step 2: Convert to fraction form
    83.84/125.17 = 69.40/x
  3. Step 3: Cross multiply
    83.84x = 125.17 × 69.40
  4. Step 4: Simplify right side
    83.84x = 8,686.80
  5. Step 5: Solve for x
    x = 8,686.80/83.84
  6. Step 6: Final answer
    x = 103.61

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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.