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Finding the Fourth Proportional to 112.10, 168.08 and 77.82

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Solution

The fourth proportional to 112.10, 168.08 and 77.82 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 168.08 = 77.82 : x
  2. Step 2: Convert to fraction form
    112.10/168.08 = 77.82/x
  3. Step 3: Cross multiply
    112.10x = 168.08 × 77.82
  4. Step 4: Simplify right side
    112.10x = 13,079.60
  5. Step 5: Solve for x
    x = 13,079.60/112.10
  6. Step 6: Final answer
    x = 116.68

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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.