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Finding the Fourth Proportional to 259,234.75, 357,744 and 140,002.75

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Solution

The fourth proportional to 259,234.75, 357,744 and 140,002.75 is: 193,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,234.75 : 357,744 = 140,002.75 : x
  2. Step 2: Convert to fraction form
    259,234.75/357,744 = 140,002.75/x
  3. Step 3: Cross multiply
    259,234.75x = 357,744 × 140,002.75
  4. Step 4: Simplify right side
    259,234.75x = 50,085,143,796
  5. Step 5: Solve for x
    x = 50,085,143,796/259,234.75
  6. Step 6: Final answer
    x = 193,203.82

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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.