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Finding the Fourth Proportional to 68,469.29, 102,742.61 and 36,878.68

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Solution

The fourth proportional to 68,469.29, 102,742.61 and 36,878.68 is: 55,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,469.29 : 102,742.61 = 36,878.68 : x
  2. Step 2: Convert to fraction form
    68,469.29/102,742.61 = 36,878.68/x
  3. Step 3: Cross multiply
    68,469.29x = 102,742.61 × 36,878.68
  4. Step 4: Simplify right side
    68,469.29x = 3,789,011,836.55
  5. Step 5: Solve for x
    x = 3,789,011,836.55/68,469.29
  6. Step 6: Final answer
    x = 55,338.85

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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.