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Finding the Fourth Proportional to 100,396.86, 138,524.41 and 60,095.30

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Solution

The fourth proportional to 100,396.86, 138,524.41 and 60,095.30 is: 82,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.86 : 138,524.41 = 60,095.30 : x
  2. Step 2: Convert to fraction form
    100,396.86/138,524.41 = 60,095.30/x
  3. Step 3: Cross multiply
    100,396.86x = 138,524.41 × 60,095.30
  4. Step 4: Simplify right side
    100,396.86x = 8,324,665,976.27
  5. Step 5: Solve for x
    x = 8,324,665,976.27/100,396.86
  6. Step 6: Final answer
    x = 82,917.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.