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Finding the Fourth Proportional to 140,692.80, 194,174.54 and 80,249.56

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Solution

The fourth proportional to 140,692.80, 194,174.54 and 80,249.56 is: 110,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,692.80 : 194,174.54 = 80,249.56 : x
  2. Step 2: Convert to fraction form
    140,692.80/194,174.54 = 80,249.56/x
  3. Step 3: Cross multiply
    140,692.80x = 194,174.54 × 80,249.56
  4. Step 4: Simplify right side
    140,692.80x = 15,582,421,398.20
  5. Step 5: Solve for x
    x = 15,582,421,398.20/140,692.80
  6. Step 6: Final answer
    x = 110,754.93

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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.