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Finding the Fourth Proportional to 53,843.20, 80,775.60 and 16,405.60

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Solution

The fourth proportional to 53,843.20, 80,775.60 and 16,405.60 is: 24,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,843.20 : 80,775.60 = 16,405.60 : x
  2. Step 2: Convert to fraction form
    53,843.20/80,775.60 = 16,405.60/x
  3. Step 3: Cross multiply
    53,843.20x = 80,775.60 × 16,405.60
  4. Step 4: Simplify right side
    53,843.20x = 1,325,172,183.36
  5. Step 5: Solve for x
    x = 1,325,172,183.36/53,843.20
  6. Step 6: Final answer
    x = 24,611.69

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1.5x scale

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.