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Finding the Fourth Proportional to 206,086.65, 308,727.49 and 142,033.44

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Solution

The fourth proportional to 206,086.65, 308,727.49 and 142,033.44 is: 212,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,086.65 : 308,727.49 = 142,033.44 : x
  2. Step 2: Convert to fraction form
    206,086.65/308,727.49 = 142,033.44/x
  3. Step 3: Cross multiply
    206,086.65x = 308,727.49 × 142,033.44
  4. Step 4: Simplify right side
    206,086.65x = 43,849,627,427.27
  5. Step 5: Solve for x
    x = 43,849,627,427.27/206,086.65
  6. Step 6: Final answer
    x = 212,772.77

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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.