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Finding the Fourth Proportional to 206,445, 284,898.42 and 117,021

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Solution

The fourth proportional to 206,445, 284,898.42 and 117,021 is: 161,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,445 : 284,898.42 = 117,021 : x
  2. Step 2: Convert to fraction form
    206,445/284,898.42 = 117,021/x
  3. Step 3: Cross multiply
    206,445x = 284,898.42 × 117,021
  4. Step 4: Simplify right side
    206,445x = 33,339,098,006.82
  5. Step 5: Solve for x
    x = 33,339,098,006.82/206,445
  6. Step 6: Final answer
    x = 161,491.43

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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.