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Finding the Fourth Proportional to 171,906.66, 257,872.41 and 71,966.34

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Solution

The fourth proportional to 171,906.66, 257,872.41 and 71,966.34 is: 107,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,906.66 : 257,872.41 = 71,966.34 : x
  2. Step 2: Convert to fraction form
    171,906.66/257,872.41 = 71,966.34/x
  3. Step 3: Cross multiply
    171,906.66x = 257,872.41 × 71,966.34
  4. Step 4: Simplify right side
    171,906.66x = 18,558,133,534.68
  5. Step 5: Solve for x
    x = 18,558,133,534.68/171,906.66
  6. Step 6: Final answer
    x = 107,954.71

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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.