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Finding the Fourth Proportional to 206,189.72, 309,333.78 and 73,081.60

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Solution

The fourth proportional to 206,189.72, 309,333.78 and 73,081.60 is: 109,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,189.72 : 309,333.78 = 73,081.60 : x
  2. Step 2: Convert to fraction form
    206,189.72/309,333.78 = 73,081.60/x
  3. Step 3: Cross multiply
    206,189.72x = 309,333.78 × 73,081.60
  4. Step 4: Simplify right side
    206,189.72x = 22,606,607,576.45
  5. Step 5: Solve for x
    x = 22,606,607,576.45/206,189.72
  6. Step 6: Final answer
    x = 109,639.84

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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.