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Finding the Fourth Proportional to 123.22, 183.70 and 109.45

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Solution

The fourth proportional to 123.22, 183.70 and 109.45 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 183.70 = 109.45 : x
  2. Step 2: Convert to fraction form
    123.22/183.70 = 109.45/x
  3. Step 3: Cross multiply
    123.22x = 183.70 × 109.45
  4. Step 4: Simplify right side
    123.22x = 20,105.97
  5. Step 5: Solve for x
    x = 20,105.97/123.22
  6. Step 6: Final answer
    x = 163.17

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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.