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Finding the Fourth Proportional to 68,970, 95,178.70 and 39,162

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Solution

The fourth proportional to 68,970, 95,178.70 and 39,162 is: 54,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,970 : 95,178.70 = 39,162 : x
  2. Step 2: Convert to fraction form
    68,970/95,178.70 = 39,162/x
  3. Step 3: Cross multiply
    68,970x = 95,178.70 × 39,162
  4. Step 4: Simplify right side
    68,970x = 3,727,388,249.40
  5. Step 5: Solve for x
    x = 3,727,388,249.40/68,970
  6. Step 6: Final answer
    x = 54,043.62

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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.