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Finding the Fourth Proportional to 209,213.70, 313,806.15 and 67,056.90

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Solution

The fourth proportional to 209,213.70, 313,806.15 and 67,056.90 is: 100,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.70 : 313,806.15 = 67,056.90 : x
  2. Step 2: Convert to fraction form
    209,213.70/313,806.15 = 67,056.90/x
  3. Step 3: Cross multiply
    209,213.70x = 313,806.15 × 67,056.90
  4. Step 4: Simplify right side
    209,213.70x = 21,042,867,619.94
  5. Step 5: Solve for x
    x = 21,042,867,619.94/209,213.70
  6. Step 6: Final answer
    x = 100,580.73

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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.