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Finding the Fourth Proportional to 171,474.50, 257,236.81 and 82,654.97

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Solution

The fourth proportional to 171,474.50, 257,236.81 and 82,654.97 is: 123,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,474.50 : 257,236.81 = 82,654.97 : x
  2. Step 2: Convert to fraction form
    171,474.50/257,236.81 = 82,654.97/x
  3. Step 3: Cross multiply
    171,474.50x = 257,236.81 × 82,654.97
  4. Step 4: Simplify right side
    171,474.50x = 21,261,900,813.45
  5. Step 5: Solve for x
    x = 21,261,900,813.45/171,474.50
  6. Step 6: Final answer
    x = 123,994.53

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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.