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Finding the Fourth Proportional to 206,220.56, 309,357 and 73,074.80

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Solution

The fourth proportional to 206,220.56, 309,357 and 73,074.80 is: 109,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,220.56 : 309,357 = 73,074.80 : x
  2. Step 2: Convert to fraction form
    206,220.56/309,357 = 73,074.80/x
  3. Step 3: Cross multiply
    206,220.56x = 309,357 × 73,074.80
  4. Step 4: Simplify right side
    206,220.56x = 22,606,200,903.60
  5. Step 5: Solve for x
    x = 22,606,200,903.60/206,220.56
  6. Step 6: Final answer
    x = 109,621.47

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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.