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Finding the Fourth Proportional to 209,193.83, 313,811.49 and 67,003.38

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Solution

The fourth proportional to 209,193.83, 313,811.49 and 67,003.38 is: 100,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,193.83 : 313,811.49 = 67,003.38 : x
  2. Step 2: Convert to fraction form
    209,193.83/313,811.49 = 67,003.38/x
  3. Step 3: Cross multiply
    209,193.83x = 313,811.49 × 67,003.38
  4. Step 4: Simplify right side
    209,193.83x = 21,026,430,512.84
  5. Step 5: Solve for x
    x = 21,026,430,512.84/209,193.83
  6. Step 6: Final answer
    x = 100,511.72

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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.