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Finding the Fourth Proportional to 124.05, 184.96 and 119.59

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Solution

The fourth proportional to 124.05, 184.96 and 119.59 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.05 : 184.96 = 119.59 : x
  2. Step 2: Convert to fraction form
    124.05/184.96 = 119.59/x
  3. Step 3: Cross multiply
    124.05x = 184.96 × 119.59
  4. Step 4: Simplify right side
    124.05x = 22,119.37
  5. Step 5: Solve for x
    x = 22,119.37/124.05
  6. Step 6: Final answer
    x = 178.31

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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.