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Finding the Fourth Proportional to 96.81, 144.12 and 92.39

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Solution

The fourth proportional to 96.81, 144.12 and 92.39 is: 137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.81 : 144.12 = 92.39 : x
  2. Step 2: Convert to fraction form
    96.81/144.12 = 92.39/x
  3. Step 3: Cross multiply
    96.81x = 144.12 × 92.39
  4. Step 4: Simplify right side
    96.81x = 13,314.66
  5. Step 5: Solve for x
    x = 13,314.66/96.81
  6. Step 6: Final answer
    x = 137.53

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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.