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Finding the Fourth Proportional to 240,786.78, 361,183.70 and 114,439.92

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Solution

The fourth proportional to 240,786.78, 361,183.70 and 114,439.92 is: 171,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,786.78 : 361,183.70 = 114,439.92 : x
  2. Step 2: Convert to fraction form
    240,786.78/361,183.70 = 114,439.92/x
  3. Step 3: Cross multiply
    240,786.78x = 361,183.70 × 114,439.92
  4. Step 4: Simplify right side
    240,786.78x = 41,333,832,343.10
  5. Step 5: Solve for x
    x = 41,333,832,343.10/240,786.78
  6. Step 6: Final answer
    x = 171,661.55

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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.