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Finding the Fourth Proportional to 207,491.08, 311,171.34 and 67,217.16

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Solution

The fourth proportional to 207,491.08, 311,171.34 and 67,217.16 is: 100,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,491.08 : 311,171.34 = 67,217.16 : x
  2. Step 2: Convert to fraction form
    207,491.08/311,171.34 = 67,217.16/x
  3. Step 3: Cross multiply
    207,491.08x = 311,171.34 × 67,217.16
  4. Step 4: Simplify right side
    207,491.08x = 20,916,053,748.19
  5. Step 5: Solve for x
    x = 20,916,053,748.19/207,491.08
  6. Step 6: Final answer
    x = 100,804.59

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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.