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Finding the Fourth Proportional to 276,081.76, 414,131.85 and 76,385.44

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Solution

The fourth proportional to 276,081.76, 414,131.85 and 76,385.44 is: 114,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,081.76 : 414,131.85 = 76,385.44 : x
  2. Step 2: Convert to fraction form
    276,081.76/414,131.85 = 76,385.44/x
  3. Step 3: Cross multiply
    276,081.76x = 414,131.85 × 76,385.44
  4. Step 4: Simplify right side
    276,081.76x = 31,633,643,580.26
  5. Step 5: Solve for x
    x = 31,633,643,580.26/276,081.76
  6. Step 6: Final answer
    x = 114,580.71

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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.