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Finding the Fourth Proportional to 209,185.68, 313,651.92 and 84,380.88

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Solution

The fourth proportional to 209,185.68, 313,651.92 and 84,380.88 is: 126,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,185.68 : 313,651.92 = 84,380.88 : x
  2. Step 2: Convert to fraction form
    209,185.68/313,651.92 = 84,380.88/x
  3. Step 3: Cross multiply
    209,185.68x = 313,651.92 × 84,380.88
  4. Step 4: Simplify right side
    209,185.68x = 26,466,225,023.29
  5. Step 5: Solve for x
    x = 26,466,225,023.29/209,185.68
  6. Step 6: Final answer
    x = 126,520.25

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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.