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Finding the Fourth Proportional to 68,296.86, 102,445.31 and 36,721.78

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Solution

The fourth proportional to 68,296.86, 102,445.31 and 36,721.78 is: 55,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,296.86 : 102,445.31 = 36,721.78 : x
  2. Step 2: Convert to fraction form
    68,296.86/102,445.31 = 36,721.78/x
  3. Step 3: Cross multiply
    68,296.86x = 102,445.31 × 36,721.78
  4. Step 4: Simplify right side
    68,296.86x = 3,761,974,053.11
  5. Step 5: Solve for x
    x = 3,761,974,053.11/68,296.86
  6. Step 6: Final answer
    x = 55,082.68

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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.