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Finding the Fourth Proportional to 118.32, 161.86 and 117.84

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Solution

The fourth proportional to 118.32, 161.86 and 117.84 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.32 : 161.86 = 117.84 : x
  2. Step 2: Convert to fraction form
    118.32/161.86 = 117.84/x
  3. Step 3: Cross multiply
    118.32x = 161.86 × 117.84
  4. Step 4: Simplify right side
    118.32x = 19,073.58
  5. Step 5: Solve for x
    x = 19,073.58/118.32
  6. Step 6: Final answer
    x = 161.20

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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.