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Finding the Fourth Proportional to 68,468.92, 102,703.35 and 25,782.38

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Solution

The fourth proportional to 68,468.92, 102,703.35 and 25,782.38 is: 38,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,468.92 : 102,703.35 = 25,782.38 : x
  2. Step 2: Convert to fraction form
    68,468.92/102,703.35 = 25,782.38/x
  3. Step 3: Cross multiply
    68,468.92x = 102,703.35 × 25,782.38
  4. Step 4: Simplify right side
    68,468.92x = 2,647,936,765.28
  5. Step 5: Solve for x
    x = 2,647,936,765.28/68,468.92
  6. Step 6: Final answer
    x = 38,673.56

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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.