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Finding the Fourth Proportional to 118.78, 162.92 and 111.79

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Solution

The fourth proportional to 118.78, 162.92 and 111.79 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.78 : 162.92 = 111.79 : x
  2. Step 2: Convert to fraction form
    118.78/162.92 = 111.79/x
  3. Step 3: Cross multiply
    118.78x = 162.92 × 111.79
  4. Step 4: Simplify right side
    118.78x = 18,212.83
  5. Step 5: Solve for x
    x = 18,212.83/118.78
  6. Step 6: Final answer
    x = 153.33

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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.