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Finding the Fourth Proportional to 203,680.66, 281,081.16 and 123,162

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Solution

The fourth proportional to 203,680.66, 281,081.16 and 123,162 is: 169,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,680.66 : 281,081.16 = 123,162 : x
  2. Step 2: Convert to fraction form
    203,680.66/281,081.16 = 123,162/x
  3. Step 3: Cross multiply
    203,680.66x = 281,081.16 × 123,162
  4. Step 4: Simplify right side
    203,680.66x = 34,618,517,827.92
  5. Step 5: Solve for x
    x = 34,618,517,827.92/203,680.66
  6. Step 6: Final answer
    x = 169,964.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.