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Finding the Fourth Proportional to 76,906.46, 106,118.16 and 51,371.87

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Solution

The fourth proportional to 76,906.46, 106,118.16 and 51,371.87 is: 70,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,906.46 : 106,118.16 = 51,371.87 : x
  2. Step 2: Convert to fraction form
    76,906.46/106,118.16 = 51,371.87/x
  3. Step 3: Cross multiply
    76,906.46x = 106,118.16 × 51,371.87
  4. Step 4: Simplify right side
    76,906.46x = 5,451,487,789.57
  5. Step 5: Solve for x
    x = 5,451,487,789.57/76,906.46
  6. Step 6: Final answer
    x = 70,884.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.