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Finding the Fourth Proportional to 117.14, 161.64 and 80.28

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Solution

The fourth proportional to 117.14, 161.64 and 80.28 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 161.64 = 80.28 : x
  2. Step 2: Convert to fraction form
    117.14/161.64 = 80.28/x
  3. Step 3: Cross multiply
    117.14x = 161.64 × 80.28
  4. Step 4: Simplify right side
    117.14x = 12,976.46
  5. Step 5: Solve for x
    x = 12,976.46/117.14
  6. Step 6: Final answer
    x = 110.78

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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.