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Finding the Fourth Proportional to 140.82, 194.16 and 121.08

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Solution

The fourth proportional to 140.82, 194.16 and 121.08 is: 166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.82 : 194.16 = 121.08 : x
  2. Step 2: Convert to fraction form
    140.82/194.16 = 121.08/x
  3. Step 3: Cross multiply
    140.82x = 194.16 × 121.08
  4. Step 4: Simplify right side
    140.82x = 23,508.89
  5. Step 5: Solve for x
    x = 23,508.89/140.82
  6. Step 6: Final answer
    x = 166.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.