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Finding the Fourth Proportional to 112.39, 155.12 and 77.42

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Solution

The fourth proportional to 112.39, 155.12 and 77.42 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.39 : 155.12 = 77.42 : x
  2. Step 2: Convert to fraction form
    112.39/155.12 = 77.42/x
  3. Step 3: Cross multiply
    112.39x = 155.12 × 77.42
  4. Step 4: Simplify right side
    112.39x = 12,009.39
  5. Step 5: Solve for x
    x = 12,009.39/112.39
  6. Step 6: Final answer
    x = 106.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.