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Finding the Fourth Proportional to 68,326.92, 102,348.80 and 40,162

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Solution

The fourth proportional to 68,326.92, 102,348.80 and 40,162 is: 60,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,326.92 : 102,348.80 = 40,162 : x
  2. Step 2: Convert to fraction form
    68,326.92/102,348.80 = 40,162/x
  3. Step 3: Cross multiply
    68,326.92x = 102,348.80 × 40,162
  4. Step 4: Simplify right side
    68,326.92x = 4,110,532,505.60
  5. Step 5: Solve for x
    x = 4,110,532,505.60/68,326.92
  6. Step 6: Final answer
    x = 60,159.78

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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.