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Finding the Fourth Proportional to 127.25, 175.43 and 109.74

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Solution

The fourth proportional to 127.25, 175.43 and 109.74 is: 151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.25 : 175.43 = 109.74 : x
  2. Step 2: Convert to fraction form
    127.25/175.43 = 109.74/x
  3. Step 3: Cross multiply
    127.25x = 175.43 × 109.74
  4. Step 4: Simplify right side
    127.25x = 19,251.14
  5. Step 5: Solve for x
    x = 19,251.14/127.25
  6. Step 6: Final answer
    x = 151.29

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Why These Related Problems?

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