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Finding the Fourth Proportional to 206,285, 284,673.30 and 116,861

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Solution

The fourth proportional to 206,285, 284,673.30 and 116,861 is: 161,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,285 : 284,673.30 = 116,861 : x
  2. Step 2: Convert to fraction form
    206,285/284,673.30 = 116,861/x
  3. Step 3: Cross multiply
    206,285x = 284,673.30 × 116,861
  4. Step 4: Simplify right side
    206,285x = 33,267,206,511.30
  5. Step 5: Solve for x
    x = 33,267,206,511.30/206,285
  6. Step 6: Final answer
    x = 161,268.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.