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Finding the Fourth Proportional to 140,643.12, 194,086 and 80,212.20

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Solution

The fourth proportional to 140,643.12, 194,086 and 80,212.20 is: 110,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,643.12 : 194,086 = 80,212.20 : x
  2. Step 2: Convert to fraction form
    140,643.12/194,086 = 80,212.20/x
  3. Step 3: Cross multiply
    140,643.12x = 194,086 × 80,212.20
  4. Step 4: Simplify right side
    140,643.12x = 15,568,065,049.20
  5. Step 5: Solve for x
    x = 15,568,065,049.20/140,643.12
  6. Step 6: Final answer
    x = 110,691.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.