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Finding the Fourth Proportional to 112.65, 168.96 and 76.80

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Solution

The fourth proportional to 112.65, 168.96 and 76.80 is: 115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.65 : 168.96 = 76.80 : x
  2. Step 2: Convert to fraction form
    112.65/168.96 = 76.80/x
  3. Step 3: Cross multiply
    112.65x = 168.96 × 76.80
  4. Step 4: Simplify right side
    112.65x = 12,976.13
  5. Step 5: Solve for x
    x = 12,976.13/112.65
  6. Step 6: Final answer
    x = 115.19

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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.