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Finding the Fourth Proportional to 127.24, 176.72 and 126.12

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Solution

The fourth proportional to 127.24, 176.72 and 126.12 is: 175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 176.72 = 126.12 : x
  2. Step 2: Convert to fraction form
    127.24/176.72 = 126.12/x
  3. Step 3: Cross multiply
    127.24x = 176.72 × 126.12
  4. Step 4: Simplify right side
    127.24x = 22,287.93
  5. Step 5: Solve for x
    x = 22,287.93/127.24
  6. Step 6: Final answer
    x = 175.16

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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.