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Finding the Fourth Proportional to 206,108.87, 309,163.98 and 72,993

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Solution

The fourth proportional to 206,108.87, 309,163.98 and 72,993 is: 109,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,108.87 : 309,163.98 = 72,993 : x
  2. Step 2: Convert to fraction form
    206,108.87/309,163.98 = 72,993/x
  3. Step 3: Cross multiply
    206,108.87x = 309,163.98 × 72,993
  4. Step 4: Simplify right side
    206,108.87x = 22,566,806,392.14
  5. Step 5: Solve for x
    x = 22,566,806,392.14/206,108.87
  6. Step 6: Final answer
    x = 109,489.74

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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.