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Finding the Fourth Proportional to 123.10, 183.65 and 108.52

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Solution

The fourth proportional to 123.10, 183.65 and 108.52 is: 161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 183.65 = 108.52 : x
  2. Step 2: Convert to fraction form
    123.10/183.65 = 108.52/x
  3. Step 3: Cross multiply
    123.10x = 183.65 × 108.52
  4. Step 4: Simplify right side
    123.10x = 19,929.70
  5. Step 5: Solve for x
    x = 19,929.70/123.10
  6. Step 6: Final answer
    x = 161.90

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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.