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Finding the Fourth Proportional to 123.80, 185.51 and 120.76

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Solution

The fourth proportional to 123.80, 185.51 and 120.76 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.80 : 185.51 = 120.76 : x
  2. Step 2: Convert to fraction form
    123.80/185.51 = 120.76/x
  3. Step 3: Cross multiply
    123.80x = 185.51 × 120.76
  4. Step 4: Simplify right side
    123.80x = 22,402.03
  5. Step 5: Solve for x
    x = 22,402.03/123.80
  6. Step 6: Final answer
    x = 180.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.