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Finding the Fourth Proportional to 209,200.89, 313,794.05 and 67,044.08

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Solution

The fourth proportional to 209,200.89, 313,794.05 and 67,044.08 is: 100,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.89 : 313,794.05 = 67,044.08 : x
  2. Step 2: Convert to fraction form
    209,200.89/313,794.05 = 67,044.08/x
  3. Step 3: Cross multiply
    209,200.89x = 313,794.05 × 67,044.08
  4. Step 4: Simplify right side
    209,200.89x = 21,038,031,487.53
  5. Step 5: Solve for x
    x = 21,038,031,487.53/209,200.89
  6. Step 6: Final answer
    x = 100,563.78

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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.