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Finding the Fourth Proportional to 106,165.20, 146,481.44 and 68,394

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Solution

The fourth proportional to 106,165.20, 146,481.44 and 68,394 is: 94,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,165.20 : 146,481.44 = 68,394 : x
  2. Step 2: Convert to fraction form
    106,165.20/146,481.44 = 68,394/x
  3. Step 3: Cross multiply
    106,165.20x = 146,481.44 × 68,394
  4. Step 4: Simplify right side
    106,165.20x = 10,018,451,607.36
  5. Step 5: Solve for x
    x = 10,018,451,607.36/106,165.20
  6. Step 6: Final answer
    x = 94,366.62

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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.