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Finding the Fourth Proportional to 271,411.97, 407,121.42 and 71,730.63

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Solution

The fourth proportional to 271,411.97, 407,121.42 and 71,730.63 is: 107,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411.97 : 407,121.42 = 71,730.63 : x
  2. Step 2: Convert to fraction form
    271,411.97/407,121.42 = 71,730.63/x
  3. Step 3: Cross multiply
    271,411.97x = 407,121.42 × 71,730.63
  4. Step 4: Simplify right side
    271,411.97x = 29,203,077,357.11
  5. Step 5: Solve for x
    x = 29,203,077,357.11/271,411.97
  6. Step 6: Final answer
    x = 107,596.86

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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.