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Finding the Fourth Proportional to 207,930.21, 311,906.67 and 65,764.87

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Solution

The fourth proportional to 207,930.21, 311,906.67 and 65,764.87 is: 98,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.21 : 311,906.67 = 65,764.87 : x
  2. Step 2: Convert to fraction form
    207,930.21/311,906.67 = 65,764.87/x
  3. Step 3: Cross multiply
    207,930.21x = 311,906.67 × 65,764.87
  4. Step 4: Simplify right side
    207,930.21x = 20,512,501,604.68
  5. Step 5: Solve for x
    x = 20,512,501,604.68/207,930.21
  6. Step 6: Final answer
    x = 98,650.90

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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.