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Finding the Fourth Proportional to 68,044.96, 102,055.92 and 20,648.62

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Solution

The fourth proportional to 68,044.96, 102,055.92 and 20,648.62 is: 30,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,044.96 : 102,055.92 = 20,648.62 : x
  2. Step 2: Convert to fraction form
    68,044.96/102,055.92 = 20,648.62/x
  3. Step 3: Cross multiply
    68,044.96x = 102,055.92 × 20,648.62
  4. Step 4: Simplify right side
    68,044.96x = 2,107,313,910.83
  5. Step 5: Solve for x
    x = 2,107,313,910.83/68,044.96
  6. Step 6: Final answer
    x = 30,969.43

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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.