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Finding the Fourth Proportional to 206,107.36, 309,161.74 and 72,991.50

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Solution

The fourth proportional to 206,107.36, 309,161.74 and 72,991.50 is: 109,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,107.36 : 309,161.74 = 72,991.50 : x
  2. Step 2: Convert to fraction form
    206,107.36/309,161.74 = 72,991.50/x
  3. Step 3: Cross multiply
    206,107.36x = 309,161.74 × 72,991.50
  4. Step 4: Simplify right side
    206,107.36x = 22,566,180,343.50
  5. Step 5: Solve for x
    x = 22,566,180,343.50/206,107.36
  6. Step 6: Final answer
    x = 109,487.50

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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.