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Finding the Fourth Proportional to 124.56, 185.67 and 119.09

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Solution

The fourth proportional to 124.56, 185.67 and 119.09 is: 177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 185.67 = 119.09 : x
  2. Step 2: Convert to fraction form
    124.56/185.67 = 119.09/x
  3. Step 3: Cross multiply
    124.56x = 185.67 × 119.09
  4. Step 4: Simplify right side
    124.56x = 22,111.90
  5. Step 5: Solve for x
    x = 22,111.90/124.56
  6. Step 6: Final answer
    x = 177.52

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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.