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Finding the Fourth Proportional to 271,993.78, 408,049.71 and 105,783.22

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Solution

The fourth proportional to 271,993.78, 408,049.71 and 105,783.22 is: 158,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,993.78 : 408,049.71 = 105,783.22 : x
  2. Step 2: Convert to fraction form
    271,993.78/408,049.71 = 105,783.22/x
  3. Step 3: Cross multiply
    271,993.78x = 408,049.71 × 105,783.22
  4. Step 4: Simplify right side
    271,993.78x = 43,164,812,243.87
  5. Step 5: Solve for x
    x = 43,164,812,243.87/271,993.78
  6. Step 6: Final answer
    x = 158,697.79

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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.