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Finding the Fourth Proportional to 124.42, 185.22 and 122.71

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Solution

The fourth proportional to 124.42, 185.22 and 122.71 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.42 : 185.22 = 122.71 : x
  2. Step 2: Convert to fraction form
    124.42/185.22 = 122.71/x
  3. Step 3: Cross multiply
    124.42x = 185.22 × 122.71
  4. Step 4: Simplify right side
    124.42x = 22,728.35
  5. Step 5: Solve for x
    x = 22,728.35/124.42
  6. Step 6: Final answer
    x = 182.67

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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.