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Finding the Fourth Proportional to 127.38, 175.74 and 78.27

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Solution

The fourth proportional to 127.38, 175.74 and 78.27 is: 107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.38 : 175.74 = 78.27 : x
  2. Step 2: Convert to fraction form
    127.38/175.74 = 78.27/x
  3. Step 3: Cross multiply
    127.38x = 175.74 × 78.27
  4. Step 4: Simplify right side
    127.38x = 13,755.17
  5. Step 5: Solve for x
    x = 13,755.17/127.38
  6. Step 6: Final answer
    x = 107.99

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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.