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Finding the Fourth Proportional to 207,858.83, 311,820.91 and 67,584.65

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Solution

The fourth proportional to 207,858.83, 311,820.91 and 67,584.65 is: 101,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,858.83 : 311,820.91 = 67,584.65 : x
  2. Step 2: Convert to fraction form
    207,858.83/311,820.91 = 67,584.65/x
  3. Step 3: Cross multiply
    207,858.83x = 311,820.91 × 67,584.65
  4. Step 4: Simplify right side
    207,858.83x = 21,074,305,336.97
  5. Step 5: Solve for x
    x = 21,074,305,336.97/207,858.83
  6. Step 6: Final answer
    x = 101,387.59

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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.