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Finding the Fourth Proportional to 207,662.92, 311,478.82 and 65,512.87

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Solution

The fourth proportional to 207,662.92, 311,478.82 and 65,512.87 is: 98,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,662.92 : 311,478.82 = 65,512.87 : x
  2. Step 2: Convert to fraction form
    207,662.92/311,478.82 = 65,512.87/x
  3. Step 3: Cross multiply
    207,662.92x = 311,478.82 × 65,512.87
  4. Step 4: Simplify right side
    207,662.92x = 20,405,870,499.93
  5. Step 5: Solve for x
    x = 20,405,870,499.93/207,662.92
  6. Step 6: Final answer
    x = 98,264.39

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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.