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Finding the Fourth Proportional to 80,476.80, 120,729.60 and 33,734.40

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Solution

The fourth proportional to 80,476.80, 120,729.60 and 33,734.40 is: 50,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,476.80 : 120,729.60 = 33,734.40 : x
  2. Step 2: Convert to fraction form
    80,476.80/120,729.60 = 33,734.40/x
  3. Step 3: Cross multiply
    80,476.80x = 120,729.60 × 33,734.40
  4. Step 4: Simplify right side
    80,476.80x = 4,072,740,618.24
  5. Step 5: Solve for x
    x = 4,072,740,618.24/80,476.80
  6. Step 6: Final answer
    x = 50,607.64

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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.