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Finding the Fourth Proportional to 209,171.88, 313,765.20 and 66,998.68

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Solution

The fourth proportional to 209,171.88, 313,765.20 and 66,998.68 is: 100,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,171.88 : 313,765.20 = 66,998.68 : x
  2. Step 2: Convert to fraction form
    209,171.88/313,765.20 = 66,998.68/x
  3. Step 3: Cross multiply
    209,171.88x = 313,765.20 × 66,998.68
  4. Step 4: Simplify right side
    209,171.88x = 21,021,854,229.94
  5. Step 5: Solve for x
    x = 21,021,854,229.94/209,171.88
  6. Step 6: Final answer
    x = 100,500.38

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1.5x scale

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.