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Finding the Fourth Proportional to 53,505.10, 80,200.05 and 20,212.30

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Solution

The fourth proportional to 53,505.10, 80,200.05 and 20,212.30 is: 30,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505.10 : 80,200.05 = 20,212.30 : x
  2. Step 2: Convert to fraction form
    53,505.10/80,200.05 = 20,212.30/x
  3. Step 3: Cross multiply
    53,505.10x = 80,200.05 × 20,212.30
  4. Step 4: Simplify right side
    53,505.10x = 1,621,027,470.62
  5. Step 5: Solve for x
    x = 1,621,027,470.62/53,505.10
  6. Step 6: Final answer
    x = 30,296.69

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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.