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Finding the Fourth Proportional to 199,129.60, 298,747.20 and 86,761.60

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Solution

The fourth proportional to 199,129.60, 298,747.20 and 86,761.60 is: 130,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,129.60 : 298,747.20 = 86,761.60 : x
  2. Step 2: Convert to fraction form
    199,129.60/298,747.20 = 86,761.60/x
  3. Step 3: Cross multiply
    199,129.60x = 298,747.20 × 86,761.60
  4. Step 4: Simplify right side
    199,129.60x = 25,919,785,067.52
  5. Step 5: Solve for x
    x = 25,919,785,067.52/199,129.60
  6. Step 6: Final answer
    x = 130,165.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.