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Finding the Fourth Proportional to 271,591.40, 407,340.12 and 71,914.66

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Solution

The fourth proportional to 271,591.40, 407,340.12 and 71,914.66 is: 107,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,591.40 : 407,340.12 = 71,914.66 : x
  2. Step 2: Convert to fraction form
    271,591.40/407,340.12 = 71,914.66/x
  3. Step 3: Cross multiply
    271,591.40x = 407,340.12 × 71,914.66
  4. Step 4: Simplify right side
    271,591.40x = 29,293,725,485.49
  5. Step 5: Solve for x
    x = 29,293,725,485.49/271,591.40
  6. Step 6: Final answer
    x = 107,859.55

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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.