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Finding the Fourth Proportional to 68,251.64, 102,377.72 and 20,866.56

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Solution

The fourth proportional to 68,251.64, 102,377.72 and 20,866.56 is: 31,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,251.64 : 102,377.72 = 20,866.56 : x
  2. Step 2: Convert to fraction form
    68,251.64/102,377.72 = 20,866.56/x
  3. Step 3: Cross multiply
    68,251.64x = 102,377.72 × 20,866.56
  4. Step 4: Simplify right side
    68,251.64x = 2,136,270,505.29
  5. Step 5: Solve for x
    x = 2,136,270,505.29/68,251.64
  6. Step 6: Final answer
    x = 31,299.92

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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.