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Finding the Fourth Proportional to 118.14, 161.85 and 114.03

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Solution

The fourth proportional to 118.14, 161.85 and 114.03 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.14 : 161.85 = 114.03 : x
  2. Step 2: Convert to fraction form
    118.14/161.85 = 114.03/x
  3. Step 3: Cross multiply
    118.14x = 161.85 × 114.03
  4. Step 4: Simplify right side
    118.14x = 18,455.76
  5. Step 5: Solve for x
    x = 18,455.76/118.14
  6. Step 6: Final answer
    x = 156.22

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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.