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Finding the Fourth Proportional to 127.68, 176.21 and 78.56

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Solution

The fourth proportional to 127.68, 176.21 and 78.56 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.68 : 176.21 = 78.56 : x
  2. Step 2: Convert to fraction form
    127.68/176.21 = 78.56/x
  3. Step 3: Cross multiply
    127.68x = 176.21 × 78.56
  4. Step 4: Simplify right side
    127.68x = 13,843.06
  5. Step 5: Solve for x
    x = 13,843.06/127.68
  6. Step 6: Final answer
    x = 108.42

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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.