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Finding the Fourth Proportional to 117.97, 175.96 and 111.62

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Solution

The fourth proportional to 117.97, 175.96 and 111.62 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.97 : 175.96 = 111.62 : x
  2. Step 2: Convert to fraction form
    117.97/175.96 = 111.62/x
  3. Step 3: Cross multiply
    117.97x = 175.96 × 111.62
  4. Step 4: Simplify right side
    117.97x = 19,640.66
  5. Step 5: Solve for x
    x = 19,640.66/117.97
  6. Step 6: Final answer
    x = 166.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.