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Finding the Fourth Proportional to 112.32, 169.20 and 84

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Solution

The fourth proportional to 112.32, 169.20 and 84 is: 126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 169.20 = 84 : x
  2. Step 2: Convert to fraction form
    112.32/169.20 = 84/x
  3. Step 3: Cross multiply
    112.32x = 169.20 × 84
  4. Step 4: Simplify right side
    112.32x = 14,212.80
  5. Step 5: Solve for x
    x = 14,212.80/112.32
  6. Step 6: Final answer
    x = 126.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.