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Finding the Fourth Proportional to 181.93, 251.16 and 123

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Solution

The fourth proportional to 181.93, 251.16 and 123 is: 169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.93 : 251.16 = 123 : x
  2. Step 2: Convert to fraction form
    181.93/251.16 = 123/x
  3. Step 3: Cross multiply
    181.93x = 251.16 × 123
  4. Step 4: Simplify right side
    181.93x = 30,892.68
  5. Step 5: Solve for x
    x = 30,892.68/181.93
  6. Step 6: Final answer
    x = 169.81

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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.