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Finding the Fourth Proportional to 207,661.10, 311,376.45 and 82,861.10

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Solution

The fourth proportional to 207,661.10, 311,376.45 and 82,861.10 is: 124,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,661.10 : 311,376.45 = 82,861.10 : x
  2. Step 2: Convert to fraction form
    207,661.10/311,376.45 = 82,861.10/x
  3. Step 3: Cross multiply
    207,661.10x = 311,376.45 × 82,861.10
  4. Step 4: Simplify right side
    207,661.10x = 25,800,995,161.10
  5. Step 5: Solve for x
    x = 25,800,995,161.10/207,661.10
  6. Step 6: Final answer
    x = 124,245.68

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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.