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Finding the Fourth Proportional to 170,787.20, 256,180.80 and 82,019.30

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Solution

The fourth proportional to 170,787.20, 256,180.80 and 82,019.30 is: 123,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,787.20 : 256,180.80 = 82,019.30 : x
  2. Step 2: Convert to fraction form
    170,787.20/256,180.80 = 82,019.30/x
  3. Step 3: Cross multiply
    170,787.20x = 256,180.80 × 82,019.30
  4. Step 4: Simplify right side
    170,787.20x = 21,011,769,889.44
  5. Step 5: Solve for x
    x = 21,011,769,889.44/170,787.20
  6. Step 6: Final answer
    x = 123,028.95

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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.