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Finding the Fourth Proportional to 68,568, 102,813.12 and 28,540.80

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Solution

The fourth proportional to 68,568, 102,813.12 and 28,540.80 is: 42,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,568 : 102,813.12 = 28,540.80 : x
  2. Step 2: Convert to fraction form
    68,568/102,813.12 = 28,540.80/x
  3. Step 3: Cross multiply
    68,568x = 102,813.12 × 28,540.80
  4. Step 4: Simplify right side
    68,568x = 2,934,368,695.30
  5. Step 5: Solve for x
    x = 2,934,368,695.30/68,568
  6. Step 6: Final answer
    x = 42,795.02

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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.