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Finding the Fourth Proportional to 127.75, 176.32 and 78.66

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Solution

The fourth proportional to 127.75, 176.32 and 78.66 is: 108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.75 : 176.32 = 78.66 : x
  2. Step 2: Convert to fraction form
    127.75/176.32 = 78.66/x
  3. Step 3: Cross multiply
    127.75x = 176.32 × 78.66
  4. Step 4: Simplify right side
    127.75x = 13,869.33
  5. Step 5: Solve for x
    x = 13,869.33/127.75
  6. Step 6: Final answer
    x = 108.57

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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.