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Finding the Fourth Proportional to 206,618.80, 309,786.71 and 105,220.57

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Solution

The fourth proportional to 206,618.80, 309,786.71 and 105,220.57 is: 157,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,618.80 : 309,786.71 = 105,220.57 : x
  2. Step 2: Convert to fraction form
    206,618.80/309,786.71 = 105,220.57/x
  3. Step 3: Cross multiply
    206,618.80x = 309,786.71 × 105,220.57
  4. Step 4: Simplify right side
    206,618.80x = 32,595,934,204.62
  5. Step 5: Solve for x
    x = 32,595,934,204.62/206,618.80
  6. Step 6: Final answer
    x = 157,758.80

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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.