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Finding the Fourth Proportional to 100,614.30, 138,850.11 and 55,296.56

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Solution

The fourth proportional to 100,614.30, 138,850.11 and 55,296.56 is: 76,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.30 : 138,850.11 = 55,296.56 : x
  2. Step 2: Convert to fraction form
    100,614.30/138,850.11 = 55,296.56/x
  3. Step 3: Cross multiply
    100,614.30x = 138,850.11 × 55,296.56
  4. Step 4: Simplify right side
    100,614.30x = 7,677,932,744.37
  5. Step 5: Solve for x
    x = 7,677,932,744.37/100,614.30
  6. Step 6: Final answer
    x = 76,310.55

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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.