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Finding the Fourth Proportional to 118.73, 163.72 and 77.23

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Solution

The fourth proportional to 118.73, 163.72 and 77.23 is: 106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.73 : 163.72 = 77.23 : x
  2. Step 2: Convert to fraction form
    118.73/163.72 = 77.23/x
  3. Step 3: Cross multiply
    118.73x = 163.72 × 77.23
  4. Step 4: Simplify right side
    118.73x = 12,644.10
  5. Step 5: Solve for x
    x = 12,644.10/118.73
  6. Step 6: Final answer
    x = 106.49

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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.