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Finding the Fourth Proportional to 206,395.70, 284,907.17 and 138,387.89

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Solution

The fourth proportional to 206,395.70, 284,907.17 and 138,387.89 is: 191,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,395.70 : 284,907.17 = 138,387.89 : x
  2. Step 2: Convert to fraction form
    206,395.70/284,907.17 = 138,387.89/x
  3. Step 3: Cross multiply
    206,395.70x = 284,907.17 × 138,387.89
  4. Step 4: Simplify right side
    206,395.70x = 39,427,703,160.41
  5. Step 5: Solve for x
    x = 39,427,703,160.41/206,395.70
  6. Step 6: Final answer
    x = 191,029.68

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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.