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Finding the Fourth Proportional to 80,627.60, 120,977.40 and 28,074.80

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Solution

The fourth proportional to 80,627.60, 120,977.40 and 28,074.80 is: 42,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,627.60 : 120,977.40 = 28,074.80 : x
  2. Step 2: Convert to fraction form
    80,627.60/120,977.40 = 28,074.80/x
  3. Step 3: Cross multiply
    80,627.60x = 120,977.40 × 28,074.80
  4. Step 4: Simplify right side
    80,627.60x = 3,396,416,309.52
  5. Step 5: Solve for x
    x = 3,396,416,309.52/80,627.60
  6. Step 6: Final answer
    x = 42,124.74

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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.