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Finding the Fourth Proportional to 127.96, 192.93 and 120.12

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Solution

The fourth proportional to 127.96, 192.93 and 120.12 is: 181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.96 : 192.93 = 120.12 : x
  2. Step 2: Convert to fraction form
    127.96/192.93 = 120.12/x
  3. Step 3: Cross multiply
    127.96x = 192.93 × 120.12
  4. Step 4: Simplify right side
    127.96x = 23,174.75
  5. Step 5: Solve for x
    x = 23,174.75/127.96
  6. Step 6: Final answer
    x = 181.11

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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.