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Finding the Fourth Proportional to 207,920.40, 311,879.69 and 81,471.30

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Solution

The fourth proportional to 207,920.40, 311,879.69 and 81,471.30 is: 122,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,920.40 : 311,879.69 = 81,471.30 : x
  2. Step 2: Convert to fraction form
    207,920.40/311,879.69 = 81,471.30/x
  3. Step 3: Cross multiply
    207,920.40x = 311,879.69 × 81,471.30
  4. Step 4: Simplify right side
    207,920.40x = 25,409,243,380.54
  5. Step 5: Solve for x
    x = 25,409,243,380.54/207,920.40
  6. Step 6: Final answer
    x = 122,206.59

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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.