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Finding the Fourth Proportional to 68,406.39, 102,645.09 and 51,761.43

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Solution

The fourth proportional to 68,406.39, 102,645.09 and 51,761.43 is: 77,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,406.39 : 102,645.09 = 51,761.43 : x
  2. Step 2: Convert to fraction form
    68,406.39/102,645.09 = 51,761.43/x
  3. Step 3: Cross multiply
    68,406.39x = 102,645.09 × 51,761.43
  4. Step 4: Simplify right side
    68,406.39x = 5,313,056,640.88
  5. Step 5: Solve for x
    x = 5,313,056,640.88/68,406.39
  6. Step 6: Final answer
    x = 77,669.01

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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.