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Finding the Fourth Proportional to 206,516.88, 284,975.82 and 115,860.60

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Solution

The fourth proportional to 206,516.88, 284,975.82 and 115,860.60 is: 159,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,516.88 : 284,975.82 = 115,860.60 : x
  2. Step 2: Convert to fraction form
    206,516.88/284,975.82 = 115,860.60/x
  3. Step 3: Cross multiply
    206,516.88x = 284,975.82 × 115,860.60
  4. Step 4: Simplify right side
    206,516.88x = 33,017,469,490.69
  5. Step 5: Solve for x
    x = 33,017,469,490.69/206,516.88
  6. Step 6: Final answer
    x = 159,877.82

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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.