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Finding the Fourth Proportional to 206,352.36, 309,515.58 and 73,215

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Solution

The fourth proportional to 206,352.36, 309,515.58 and 73,215 is: 109,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,352.36 : 309,515.58 = 73,215 : x
  2. Step 2: Convert to fraction form
    206,352.36/309,515.58 = 73,215/x
  3. Step 3: Cross multiply
    206,352.36x = 309,515.58 × 73,215
  4. Step 4: Simplify right side
    206,352.36x = 22,661,183,189.70
  5. Step 5: Solve for x
    x = 22,661,183,189.70/206,352.36
  6. Step 6: Final answer
    x = 109,817.90

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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.