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Finding the Fourth Proportional to 124.05, 185.78 and 80.61

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Solution

The fourth proportional to 124.05, 185.78 and 80.61 is: 120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.05 : 185.78 = 80.61 : x
  2. Step 2: Convert to fraction form
    124.05/185.78 = 80.61/x
  3. Step 3: Cross multiply
    124.05x = 185.78 × 80.61
  4. Step 4: Simplify right side
    124.05x = 14,975.32
  5. Step 5: Solve for x
    x = 14,975.32/124.05
  6. Step 6: Final answer
    x = 120.72

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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.