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Finding the Fourth Proportional to 209,214.20, 313,806.90 and 67,057.40

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Solution

The fourth proportional to 209,214.20, 313,806.90 and 67,057.40 is: 100,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.20 : 313,806.90 = 67,057.40 : x
  2. Step 2: Convert to fraction form
    209,214.20/313,806.90 = 67,057.40/x
  3. Step 3: Cross multiply
    209,214.20x = 313,806.90 × 67,057.40
  4. Step 4: Simplify right side
    209,214.20x = 21,043,074,816.06
  5. Step 5: Solve for x
    x = 21,043,074,816.06/209,214.20
  6. Step 6: Final answer
    x = 100,581.48

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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.