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Finding the Fourth Proportional to 53,469.72, 80,205.49 and 20,205.45

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Solution

The fourth proportional to 53,469.72, 80,205.49 and 20,205.45 is: 30,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469.72 : 80,205.49 = 20,205.45 : x
  2. Step 2: Convert to fraction form
    53,469.72/80,205.49 = 20,205.45/x
  3. Step 3: Cross multiply
    53,469.72x = 80,205.49 × 20,205.45
  4. Step 4: Simplify right side
    53,469.72x = 1,620,588,043.18
  5. Step 5: Solve for x
    x = 1,620,588,043.18/53,469.72
  6. Step 6: Final answer
    x = 30,308.52

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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.