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Finding the Fourth Proportional to 83.10, 124.12 and 63.84

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Solution

The fourth proportional to 83.10, 124.12 and 63.84 is: 95.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.10 : 124.12 = 63.84 : x
  2. Step 2: Convert to fraction form
    83.10/124.12 = 63.84/x
  3. Step 3: Cross multiply
    83.10x = 124.12 × 63.84
  4. Step 4: Simplify right side
    83.10x = 7,923.82
  5. Step 5: Solve for x
    x = 7,923.82/83.10
  6. Step 6: Final answer
    x = 95.35

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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.