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Finding the Fourth Proportional to 124.32, 185.41 and 123.11

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Solution

The fourth proportional to 124.32, 185.41 and 123.11 is: 183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 185.41 = 123.11 : x
  2. Step 2: Convert to fraction form
    124.32/185.41 = 123.11/x
  3. Step 3: Cross multiply
    124.32x = 185.41 × 123.11
  4. Step 4: Simplify right side
    124.32x = 22,825.83
  5. Step 5: Solve for x
    x = 22,825.83/124.32
  6. Step 6: Final answer
    x = 183.61

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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.