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Finding the Fourth Proportional to 207,794.88, 311,708.70 and 65,651.13

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Solution

The fourth proportional to 207,794.88, 311,708.70 and 65,651.13 is: 98,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,794.88 : 311,708.70 = 65,651.13 : x
  2. Step 2: Convert to fraction form
    207,794.88/311,708.70 = 65,651.13/x
  3. Step 3: Cross multiply
    207,794.88x = 311,708.70 × 65,651.13
  4. Step 4: Simplify right side
    207,794.88x = 20,464,028,385.83
  5. Step 5: Solve for x
    x = 20,464,028,385.83/207,794.88
  6. Step 6: Final answer
    x = 98,481.87

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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.