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Finding the Fourth Proportional to 276,757.83, 415,137.15 and 77,078.79

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Solution

The fourth proportional to 276,757.83, 415,137.15 and 77,078.79 is: 115,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,757.83 : 415,137.15 = 77,078.79 : x
  2. Step 2: Convert to fraction form
    276,757.83/415,137.15 = 77,078.79/x
  3. Step 3: Cross multiply
    276,757.83x = 415,137.15 × 77,078.79
  4. Step 4: Simplify right side
    276,757.83x = 31,998,269,206.05
  5. Step 5: Solve for x
    x = 31,998,269,206.05/276,757.83
  6. Step 6: Final answer
    x = 115,618.30

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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.