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Finding the Fourth Proportional to 123.20, 183.71 and 106.19

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Solution

The fourth proportional to 123.20, 183.71 and 106.19 is: 158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.20 : 183.71 = 106.19 : x
  2. Step 2: Convert to fraction form
    123.20/183.71 = 106.19/x
  3. Step 3: Cross multiply
    123.20x = 183.71 × 106.19
  4. Step 4: Simplify right side
    123.20x = 19,506.72
  5. Step 5: Solve for x
    x = 19,506.72/123.20
  6. Step 6: Final answer
    x = 158.34

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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.