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Finding the Fourth Proportional to 140.12, 192.14 and 132.56

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Solution

The fourth proportional to 140.12, 192.14 and 132.56 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.12 : 192.14 = 132.56 : x
  2. Step 2: Convert to fraction form
    140.12/192.14 = 132.56/x
  3. Step 3: Cross multiply
    140.12x = 192.14 × 132.56
  4. Step 4: Simplify right side
    140.12x = 25,470.08
  5. Step 5: Solve for x
    x = 25,470.08/140.12
  6. Step 6: Final answer
    x = 181.77

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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.