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Finding the Fourth Proportional to 68,084.52, 93,930.84 and 42,231.09

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Solution

The fourth proportional to 68,084.52, 93,930.84 and 42,231.09 is: 58,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,084.52 : 93,930.84 = 42,231.09 : x
  2. Step 2: Convert to fraction form
    68,084.52/93,930.84 = 42,231.09/x
  3. Step 3: Cross multiply
    68,084.52x = 93,930.84 × 42,231.09
  4. Step 4: Simplify right side
    68,084.52x = 3,966,801,757.82
  5. Step 5: Solve for x
    x = 3,966,801,757.82/68,084.52
  6. Step 6: Final answer
    x = 58,262.90

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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.