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Finding the Fourth Proportional to 123.05, 183.62 and 97.09

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Solution

The fourth proportional to 123.05, 183.62 and 97.09 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.05 : 183.62 = 97.09 : x
  2. Step 2: Convert to fraction form
    123.05/183.62 = 97.09/x
  3. Step 3: Cross multiply
    123.05x = 183.62 × 97.09
  4. Step 4: Simplify right side
    123.05x = 17,827.45
  5. Step 5: Solve for x
    x = 17,827.45/123.05
  6. Step 6: Final answer
    x = 144.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.