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Finding the Fourth Proportional to 207,980.91, 311,971.37 and 67,739.54

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Solution

The fourth proportional to 207,980.91, 311,971.37 and 67,739.54 is: 101,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,980.91 : 311,971.37 = 67,739.54 : x
  2. Step 2: Convert to fraction form
    207,980.91/311,971.37 = 67,739.54/x
  3. Step 3: Cross multiply
    207,980.91x = 311,971.37 × 67,739.54
  4. Step 4: Simplify right side
    207,980.91x = 21,132,797,096.97
  5. Step 5: Solve for x
    x = 21,132,797,096.97/207,980.91
  6. Step 6: Final answer
    x = 101,609.31

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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.