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Finding the Fourth Proportional to 96.02, 144.13 and 76.87

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Solution

The fourth proportional to 96.02, 144.13 and 76.87 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 144.13 = 76.87 : x
  2. Step 2: Convert to fraction form
    96.02/144.13 = 76.87/x
  3. Step 3: Cross multiply
    96.02x = 144.13 × 76.87
  4. Step 4: Simplify right side
    96.02x = 11,079.27
  5. Step 5: Solve for x
    x = 11,079.27/96.02
  6. Step 6: Final answer
    x = 115.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.