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Finding the Fourth Proportional to 100,414.52, 138,570.85 and 55,092.89

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Solution

The fourth proportional to 100,414.52, 138,570.85 and 55,092.89 is: 76,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.52 : 138,570.85 = 55,092.89 : x
  2. Step 2: Convert to fraction form
    100,414.52/138,570.85 = 55,092.89/x
  3. Step 3: Cross multiply
    100,414.52x = 138,570.85 × 55,092.89
  4. Step 4: Simplify right side
    100,414.52x = 7,634,269,011.55
  5. Step 5: Solve for x
    x = 7,634,269,011.55/100,414.52
  6. Step 6: Final answer
    x = 76,027.54

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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.