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Finding the Fourth Proportional to 124.37, 186.34 and 119.91

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Solution

The fourth proportional to 124.37, 186.34 and 119.91 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.37 : 186.34 = 119.91 : x
  2. Step 2: Convert to fraction form
    124.37/186.34 = 119.91/x
  3. Step 3: Cross multiply
    124.37x = 186.34 × 119.91
  4. Step 4: Simplify right side
    124.37x = 22,344.03
  5. Step 5: Solve for x
    x = 22,344.03/124.37
  6. Step 6: Final answer
    x = 179.66

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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.