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Finding the Fourth Proportional to 124.22, 185.31 and 120.87

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Solution

The fourth proportional to 124.22, 185.31 and 120.87 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.22 : 185.31 = 120.87 : x
  2. Step 2: Convert to fraction form
    124.22/185.31 = 120.87/x
  3. Step 3: Cross multiply
    124.22x = 185.31 × 120.87
  4. Step 4: Simplify right side
    124.22x = 22,398.42
  5. Step 5: Solve for x
    x = 22,398.42/124.22
  6. Step 6: Final answer
    x = 180.31

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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.