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Finding the Fourth Proportional to 253,286.82, 379,753.11 and 111,063.78

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Solution

The fourth proportional to 253,286.82, 379,753.11 and 111,063.78 is: 166,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,286.82 : 379,753.11 = 111,063.78 : x
  2. Step 2: Convert to fraction form
    253,286.82/379,753.11 = 111,063.78/x
  3. Step 3: Cross multiply
    253,286.82x = 379,753.11 × 111,063.78
  4. Step 4: Simplify right side
    253,286.82x = 42,176,815,863.36
  5. Step 5: Solve for x
    x = 42,176,815,863.36/253,286.82
  6. Step 6: Final answer
    x = 166,518.00

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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.