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Finding the Fourth Proportional to 206,644.43, 285,157.44 and 115,991.95

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Solution

The fourth proportional to 206,644.43, 285,157.44 and 115,991.95 is: 160,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.43 : 285,157.44 = 115,991.95 : x
  2. Step 2: Convert to fraction form
    206,644.43/285,157.44 = 115,991.95/x
  3. Step 3: Cross multiply
    206,644.43x = 285,157.44 × 115,991.95
  4. Step 4: Simplify right side
    206,644.43x = 33,075,966,942.65
  5. Step 5: Solve for x
    x = 33,075,966,942.65/206,644.43
  6. Step 6: Final answer
    x = 160,062.22

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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.