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Finding the Fourth Proportional to 203,736.70, 281,123.76 and 117,682

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Solution

The fourth proportional to 203,736.70, 281,123.76 and 117,682 is: 162,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,736.70 : 281,123.76 = 117,682 : x
  2. Step 2: Convert to fraction form
    203,736.70/281,123.76 = 117,682/x
  3. Step 3: Cross multiply
    203,736.70x = 281,123.76 × 117,682
  4. Step 4: Simplify right side
    203,736.70x = 33,083,206,324.32
  5. Step 5: Solve for x
    x = 33,083,206,324.32/203,736.70
  6. Step 6: Final answer
    x = 162,382.16

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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.