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Finding the Fourth Proportional to 271,361.21, 407,061.30 and 71,679.65

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Solution

The fourth proportional to 271,361.21, 407,061.30 and 71,679.65 is: 107,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,361.21 : 407,061.30 = 71,679.65 : x
  2. Step 2: Convert to fraction form
    271,361.21/407,061.30 = 71,679.65/x
  3. Step 3: Cross multiply
    271,361.21x = 407,061.30 × 71,679.65
  4. Step 4: Simplify right side
    271,361.21x = 29,178,011,512.55
  5. Step 5: Solve for x
    x = 29,178,011,512.55/271,361.21
  6. Step 6: Final answer
    x = 107,524.62

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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.