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Finding the Fourth Proportional to 100,352.57, 138,488.44 and 55,027.85

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Solution

The fourth proportional to 100,352.57, 138,488.44 and 55,027.85 is: 75,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,352.57 : 138,488.44 = 55,027.85 : x
  2. Step 2: Convert to fraction form
    100,352.57/138,488.44 = 55,027.85/x
  3. Step 3: Cross multiply
    100,352.57x = 138,488.44 × 55,027.85
  4. Step 4: Simplify right side
    100,352.57x = 7,620,720,410.61
  5. Step 5: Solve for x
    x = 7,620,720,410.61/100,352.57
  6. Step 6: Final answer
    x = 75,939.47

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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.