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Finding the Fourth Proportional to 276,089.97, 414,123.10 and 86,546.09

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Solution

The fourth proportional to 276,089.97, 414,123.10 and 86,546.09 is: 129,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,089.97 : 414,123.10 = 86,546.09 : x
  2. Step 2: Convert to fraction form
    276,089.97/414,123.10 = 86,546.09/x
  3. Step 3: Cross multiply
    276,089.97x = 414,123.10 × 86,546.09
  4. Step 4: Simplify right side
    276,089.97x = 35,840,735,902.62
  5. Step 5: Solve for x
    x = 35,840,735,902.62/276,089.97
  6. Step 6: Final answer
    x = 129,815.42

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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.