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Finding the Fourth Proportional to 96.75, 144.38 and 83.79

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Solution

The fourth proportional to 96.75, 144.38 and 83.79 is: 125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 144.38 = 83.79 : x
  2. Step 2: Convert to fraction form
    96.75/144.38 = 83.79/x
  3. Step 3: Cross multiply
    96.75x = 144.38 × 83.79
  4. Step 4: Simplify right side
    96.75x = 12,097.18
  5. Step 5: Solve for x
    x = 12,097.18/96.75
  6. Step 6: Final answer
    x = 125.04

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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.