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Finding the Fourth Proportional to 68,093.26, 102,139.92 and 21,349.78

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Solution

The fourth proportional to 68,093.26, 102,139.92 and 21,349.78 is: 32,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,093.26 : 102,139.92 = 21,349.78 : x
  2. Step 2: Convert to fraction form
    68,093.26/102,139.92 = 21,349.78/x
  3. Step 3: Cross multiply
    68,093.26x = 102,139.92 × 21,349.78
  4. Step 4: Simplify right side
    68,093.26x = 2,180,664,821.22
  5. Step 5: Solve for x
    x = 2,180,664,821.22/68,093.26
  6. Step 6: Final answer
    x = 32,024.68

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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.