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Finding the Fourth Proportional to 54,793.80, 82,190.70 and 17,857.80

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Solution

The fourth proportional to 54,793.80, 82,190.70 and 17,857.80 is: 26,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,793.80 : 82,190.70 = 17,857.80 : x
  2. Step 2: Convert to fraction form
    54,793.80/82,190.70 = 17,857.80/x
  3. Step 3: Cross multiply
    54,793.80x = 82,190.70 × 17,857.80
  4. Step 4: Simplify right side
    54,793.80x = 1,467,745,082.46
  5. Step 5: Solve for x
    x = 1,467,745,082.46/54,793.80
  6. Step 6: Final answer
    x = 26,786.70

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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.