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Finding the Fourth Proportional to 271,887.31, 407,872.46 and 138,694.91

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Solution

The fourth proportional to 271,887.31, 407,872.46 and 138,694.91 is: 208,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,887.31 : 407,872.46 = 138,694.91 : x
  2. Step 2: Convert to fraction form
    271,887.31/407,872.46 = 138,694.91/x
  3. Step 3: Cross multiply
    271,887.31x = 407,872.46 × 138,694.91
  4. Step 4: Simplify right side
    271,887.31x = 56,569,833,585.69
  5. Step 5: Solve for x
    x = 56,569,833,585.69/271,887.31
  6. Step 6: Final answer
    x = 208,063.53

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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.