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Finding the Fourth Proportional to 276,821.87, 415,193.37 and 87,257.60

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Solution

The fourth proportional to 276,821.87, 415,193.37 and 87,257.60 is: 130,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,821.87 : 415,193.37 = 87,257.60 : x
  2. Step 2: Convert to fraction form
    276,821.87/415,193.37 = 87,257.60/x
  3. Step 3: Cross multiply
    276,821.87x = 415,193.37 × 87,257.60
  4. Step 4: Simplify right side
    276,821.87x = 36,228,777,425.22
  5. Step 5: Solve for x
    x = 36,228,777,425.22/276,821.87
  6. Step 6: Final answer
    x = 130,873.97

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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.