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Finding the Fourth Proportional to 271,709.10, 407,311.92 and 103,178.88

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Solution

The fourth proportional to 271,709.10, 407,311.92 and 103,178.88 is: 154,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,709.10 : 407,311.92 = 103,178.88 : x
  2. Step 2: Convert to fraction form
    271,709.10/407,311.92 = 103,178.88/x
  3. Step 3: Cross multiply
    271,709.10x = 407,311.92 × 103,178.88
  4. Step 4: Simplify right side
    271,709.10x = 42,025,987,716.25
  5. Step 5: Solve for x
    x = 42,025,987,716.25/271,709.10
  6. Step 6: Final answer
    x = 154,672.73

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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.