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Finding the Fourth Proportional to 80,046.31, 120,069.46 and 30,137.60

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Solution

The fourth proportional to 80,046.31, 120,069.46 and 30,137.60 is: 45,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,046.31 : 120,069.46 = 30,137.60 : x
  2. Step 2: Convert to fraction form
    80,046.31/120,069.46 = 30,137.60/x
  3. Step 3: Cross multiply
    80,046.31x = 120,069.46 × 30,137.60
  4. Step 4: Simplify right side
    80,046.31x = 3,618,605,780.30
  5. Step 5: Solve for x
    x = 3,618,605,780.30/80,046.31
  6. Step 6: Final answer
    x = 45,206.40

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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.