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Finding the Fourth Proportional to 96.78, 144.24 and 92.76

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Solution

The fourth proportional to 96.78, 144.24 and 92.76 is: 138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 144.24 = 92.76 : x
  2. Step 2: Convert to fraction form
    96.78/144.24 = 92.76/x
  3. Step 3: Cross multiply
    96.78x = 144.24 × 92.76
  4. Step 4: Simplify right side
    96.78x = 13,379.70
  5. Step 5: Solve for x
    x = 13,379.70/96.78
  6. Step 6: Final answer
    x = 138.25

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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.