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Finding the Fourth Proportional to 112.66, 154.87 and 96.19

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Solution

The fourth proportional to 112.66, 154.87 and 96.19 is: 132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.66 : 154.87 = 96.19 : x
  2. Step 2: Convert to fraction form
    112.66/154.87 = 96.19/x
  3. Step 3: Cross multiply
    112.66x = 154.87 × 96.19
  4. Step 4: Simplify right side
    112.66x = 14,896.95
  5. Step 5: Solve for x
    x = 14,896.95/112.66
  6. Step 6: Final answer
    x = 132.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.