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Finding the Fourth Proportional to 206,572.90, 309,902.55 and 66,345.70

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Solution

The fourth proportional to 206,572.90, 309,902.55 and 66,345.70 is: 99,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,572.90 : 309,902.55 = 66,345.70 : x
  2. Step 2: Convert to fraction form
    206,572.90/309,902.55 = 66,345.70/x
  3. Step 3: Cross multiply
    206,572.90x = 309,902.55 × 66,345.70
  4. Step 4: Simplify right side
    206,572.90x = 20,560,701,611.54
  5. Step 5: Solve for x
    x = 20,560,701,611.54/206,572.90
  6. Step 6: Final answer
    x = 99,532.42

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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.