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Finding the Fourth Proportional to 118.62, 164.36 and 117.14

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Solution

The fourth proportional to 118.62, 164.36 and 117.14 is: 162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.62 : 164.36 = 117.14 : x
  2. Step 2: Convert to fraction form
    118.62/164.36 = 117.14/x
  3. Step 3: Cross multiply
    118.62x = 164.36 × 117.14
  4. Step 4: Simplify right side
    118.62x = 19,252.60
  5. Step 5: Solve for x
    x = 19,252.60/118.62
  6. Step 6: Final answer
    x = 162.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.