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Finding the Fourth Proportional to 276,103, 414,163.68 and 76,406.68

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Solution

The fourth proportional to 276,103, 414,163.68 and 76,406.68 is: 114,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,103 : 414,163.68 = 76,406.68 : x
  2. Step 2: Convert to fraction form
    276,103/414,163.68 = 76,406.68/x
  3. Step 3: Cross multiply
    276,103x = 414,163.68 × 76,406.68
  4. Step 4: Simplify right side
    276,103x = 31,644,871,765.38
  5. Step 5: Solve for x
    x = 31,644,871,765.38/276,103
  6. Step 6: Final answer
    x = 114,612.56

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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.