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Finding the Fourth Proportional to 170,738.30, 256,107.45 and 82,164.80

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Solution

The fourth proportional to 170,738.30, 256,107.45 and 82,164.80 is: 123,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,738.30 : 256,107.45 = 82,164.80 : x
  2. Step 2: Convert to fraction form
    170,738.30/256,107.45 = 82,164.80/x
  3. Step 3: Cross multiply
    170,738.30x = 256,107.45 × 82,164.80
  4. Step 4: Simplify right side
    170,738.30x = 21,043,017,407.76
  5. Step 5: Solve for x
    x = 21,043,017,407.76/170,738.30
  6. Step 6: Final answer
    x = 123,247.20

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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.