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Finding the Fourth Proportional to 140,692.50, 194,174.19 and 80,249.31

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Solution

The fourth proportional to 140,692.50, 194,174.19 and 80,249.31 is: 110,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,692.50 : 194,174.19 = 80,249.31 : x
  2. Step 2: Convert to fraction form
    140,692.50/194,174.19 = 80,249.31/x
  3. Step 3: Cross multiply
    140,692.50x = 194,174.19 × 80,249.31
  4. Step 4: Simplify right side
    140,692.50x = 15,582,344,767.31
  5. Step 5: Solve for x
    x = 15,582,344,767.31/140,692.50
  6. Step 6: Final answer
    x = 110,754.62

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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.