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Finding the Fourth Proportional to 276,076.29, 414,123.65 and 76,379.96

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Solution

The fourth proportional to 276,076.29, 414,123.65 and 76,379.96 is: 114,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,076.29 : 414,123.65 = 76,379.96 : x
  2. Step 2: Convert to fraction form
    276,076.29/414,123.65 = 76,379.96/x
  3. Step 3: Cross multiply
    276,076.29x = 414,123.65 × 76,379.96
  4. Step 4: Simplify right side
    276,076.29x = 31,630,747,822.05
  5. Step 5: Solve for x
    x = 31,630,747,822.05/276,076.29
  6. Step 6: Final answer
    x = 114,572.49

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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.