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Finding the Fourth Proportional to 100,240.86, 138,332.31 and 54,921.68

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Solution

The fourth proportional to 100,240.86, 138,332.31 and 54,921.68 is: 75,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,240.86 : 138,332.31 = 54,921.68 : x
  2. Step 2: Convert to fraction form
    100,240.86/138,332.31 = 54,921.68/x
  3. Step 3: Cross multiply
    100,240.86x = 138,332.31 × 54,921.68
  4. Step 4: Simplify right side
    100,240.86x = 7,597,442,171.82
  5. Step 5: Solve for x
    x = 7,597,442,171.82/100,240.86
  6. Step 6: Final answer
    x = 75,791.87

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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.