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Finding the Fourth Proportional to 170,843.80, 256,375.05 and 99,766.30

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Solution

The fourth proportional to 170,843.80, 256,375.05 and 99,766.30 is: 149,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,843.80 : 256,375.05 = 99,766.30 : x
  2. Step 2: Convert to fraction form
    170,843.80/256,375.05 = 99,766.30/x
  3. Step 3: Cross multiply
    170,843.80x = 256,375.05 × 99,766.30
  4. Step 4: Simplify right side
    170,843.80x = 25,577,590,150.82
  5. Step 5: Solve for x
    x = 25,577,590,150.82/170,843.80
  6. Step 6: Final answer
    x = 149,713.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.