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Finding the Fourth Proportional to 238,009.85, 356,765.70 and 80,183.78

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Solution

The fourth proportional to 238,009.85, 356,765.70 and 80,183.78 is: 120,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,009.85 : 356,765.70 = 80,183.78 : x
  2. Step 2: Convert to fraction form
    238,009.85/356,765.70 = 80,183.78/x
  3. Step 3: Cross multiply
    238,009.85x = 356,765.70 × 80,183.78
  4. Step 4: Simplify right side
    238,009.85x = 28,606,822,400.35
  5. Step 5: Solve for x
    x = 28,606,822,400.35/238,009.85
  6. Step 6: Final answer
    x = 120,191.76

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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.