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Finding the Fourth Proportional to 127.96, 193.08 and 122.96

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Solution

The fourth proportional to 127.96, 193.08 and 122.96 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.96 : 193.08 = 122.96 : x
  2. Step 2: Convert to fraction form
    127.96/193.08 = 122.96/x
  3. Step 3: Cross multiply
    127.96x = 193.08 × 122.96
  4. Step 4: Simplify right side
    127.96x = 23,741.12
  5. Step 5: Solve for x
    x = 23,741.12/127.96
  6. Step 6: Final answer
    x = 185.54

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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.