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Finding the Fourth Proportional to 127.78, 192.42 and 91.96

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Solution

The fourth proportional to 127.78, 192.42 and 91.96 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.78 : 192.42 = 91.96 : x
  2. Step 2: Convert to fraction form
    127.78/192.42 = 91.96/x
  3. Step 3: Cross multiply
    127.78x = 192.42 × 91.96
  4. Step 4: Simplify right side
    127.78x = 17,694.94
  5. Step 5: Solve for x
    x = 17,694.94/127.78
  6. Step 6: Final answer
    x = 138.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.