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Finding the Fourth Proportional to 117.95, 161.78 and 108.23

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Solution

The fourth proportional to 117.95, 161.78 and 108.23 is: 148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.95 : 161.78 = 108.23 : x
  2. Step 2: Convert to fraction form
    117.95/161.78 = 108.23/x
  3. Step 3: Cross multiply
    117.95x = 161.78 × 108.23
  4. Step 4: Simplify right side
    117.95x = 17,508.10
  5. Step 5: Solve for x
    x = 17,508.10/117.95
  6. Step 6: Final answer
    x = 148.44

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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.