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Finding the Fourth Proportional to 123.80, 184.69 and 106.84

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Solution

The fourth proportional to 123.80, 184.69 and 106.84 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.80 : 184.69 = 106.84 : x
  2. Step 2: Convert to fraction form
    123.80/184.69 = 106.84/x
  3. Step 3: Cross multiply
    123.80x = 184.69 × 106.84
  4. Step 4: Simplify right side
    123.80x = 19,732.28
  5. Step 5: Solve for x
    x = 19,732.28/123.80
  6. Step 6: Final answer
    x = 159.39

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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.