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Finding the Fourth Proportional to 68,382.49, 102,754.14 and 36,815.89

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Solution

The fourth proportional to 68,382.49, 102,754.14 and 36,815.89 is: 55,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382.49 : 102,754.14 = 36,815.89 : x
  2. Step 2: Convert to fraction form
    68,382.49/102,754.14 = 36,815.89/x
  3. Step 3: Cross multiply
    68,382.49x = 102,754.14 × 36,815.89
  4. Step 4: Simplify right side
    68,382.49x = 3,782,984,417.43
  5. Step 5: Solve for x
    x = 3,782,984,417.43/68,382.49
  6. Step 6: Final answer
    x = 55,320.96

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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.