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Finding the Fourth Proportional to 76,812, 106,005.96 and 43,278

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Solution

The fourth proportional to 76,812, 106,005.96 and 43,278 is: 59,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,812 : 106,005.96 = 43,278 : x
  2. Step 2: Convert to fraction form
    76,812/106,005.96 = 43,278/x
  3. Step 3: Cross multiply
    76,812x = 106,005.96 × 43,278
  4. Step 4: Simplify right side
    76,812x = 4,587,725,936.88
  5. Step 5: Solve for x
    x = 4,587,725,936.88/76,812
  6. Step 6: Final answer
    x = 59,726.68

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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.