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Finding the Fourth Proportional to 170,789.70, 256,184.55 and 82,021.80

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Solution

The fourth proportional to 170,789.70, 256,184.55 and 82,021.80 is: 123,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,789.70 : 256,184.55 = 82,021.80 : x
  2. Step 2: Convert to fraction form
    170,789.70/256,184.55 = 82,021.80/x
  3. Step 3: Cross multiply
    170,789.70x = 256,184.55 × 82,021.80
  4. Step 4: Simplify right side
    170,789.70x = 21,012,717,923.19
  5. Step 5: Solve for x
    x = 21,012,717,923.19/170,789.70
  6. Step 6: Final answer
    x = 123,032.70

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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.