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Finding the Fourth Proportional to 255,687.12, 352,833.84 and 140,961.96

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Solution

The fourth proportional to 255,687.12, 352,833.84 and 140,961.96 is: 194,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,687.12 : 352,833.84 = 140,961.96 : x
  2. Step 2: Convert to fraction form
    255,687.12/352,833.84 = 140,961.96/x
  3. Step 3: Cross multiply
    255,687.12x = 352,833.84 × 140,961.96
  4. Step 4: Simplify right side
    255,687.12x = 49,736,149,640.73
  5. Step 5: Solve for x
    x = 49,736,149,640.73/255,687.12
  6. Step 6: Final answer
    x = 194,519.57

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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.