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Finding the Fourth Proportional to 140.14, 192.36 and 124.26

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Solution

The fourth proportional to 140.14, 192.36 and 124.26 is: 170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.14 : 192.36 = 124.26 : x
  2. Step 2: Convert to fraction form
    140.14/192.36 = 124.26/x
  3. Step 3: Cross multiply
    140.14x = 192.36 × 124.26
  4. Step 4: Simplify right side
    140.14x = 23,902.65
  5. Step 5: Solve for x
    x = 23,902.65/140.14
  6. Step 6: Final answer
    x = 170.56

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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.