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Finding the Fourth Proportional to 206,221.56, 309,358.50 and 73,075.80

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Solution

The fourth proportional to 206,221.56, 309,358.50 and 73,075.80 is: 109,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,221.56 : 309,358.50 = 73,075.80 : x
  2. Step 2: Convert to fraction form
    206,221.56/309,358.50 = 73,075.80/x
  3. Step 3: Cross multiply
    206,221.56x = 309,358.50 × 73,075.80
  4. Step 4: Simplify right side
    206,221.56x = 22,606,619,874.30
  5. Step 5: Solve for x
    x = 22,606,619,874.30/206,221.56
  6. Step 6: Final answer
    x = 109,622.97

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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.