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Finding the Fourth Proportional to 127.53, 192.34 and 123.42

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Solution

The fourth proportional to 127.53, 192.34 and 123.42 is: 186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.53 : 192.34 = 123.42 : x
  2. Step 2: Convert to fraction form
    127.53/192.34 = 123.42/x
  3. Step 3: Cross multiply
    127.53x = 192.34 × 123.42
  4. Step 4: Simplify right side
    127.53x = 23,738.60
  5. Step 5: Solve for x
    x = 23,738.60/127.53
  6. Step 6: Final answer
    x = 186.14

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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.