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Finding the Fourth Proportional to 80,863.60, 121,295.40 and 51,193.30

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Solution

The fourth proportional to 80,863.60, 121,295.40 and 51,193.30 is: 76,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,863.60 : 121,295.40 = 51,193.30 : x
  2. Step 2: Convert to fraction form
    80,863.60/121,295.40 = 51,193.30/x
  3. Step 3: Cross multiply
    80,863.60x = 121,295.40 × 51,193.30
  4. Step 4: Simplify right side
    80,863.60x = 6,209,511,800.82
  5. Step 5: Solve for x
    x = 6,209,511,800.82/80,863.60
  6. Step 6: Final answer
    x = 76,789.95

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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.