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Finding the Fourth Proportional to 140,995.89, 194,584.22 and 80,575.46

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Solution

The fourth proportional to 140,995.89, 194,584.22 and 80,575.46 is: 111,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,995.89 : 194,584.22 = 80,575.46 : x
  2. Step 2: Convert to fraction form
    140,995.89/194,584.22 = 80,575.46/x
  3. Step 3: Cross multiply
    140,995.89x = 194,584.22 × 80,575.46
  4. Step 4: Simplify right side
    140,995.89x = 15,678,713,144.53
  5. Step 5: Solve for x
    x = 15,678,713,144.53/140,995.89
  6. Step 6: Final answer
    x = 111,199.79

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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.