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Finding the Fourth Proportional to 213,765.48, 320,400.36 and 80,560.44

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Solution

The fourth proportional to 213,765.48, 320,400.36 and 80,560.44 is: 120,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,765.48 : 320,400.36 = 80,560.44 : x
  2. Step 2: Convert to fraction form
    213,765.48/320,400.36 = 80,560.44/x
  3. Step 3: Cross multiply
    213,765.48x = 320,400.36 × 80,560.44
  4. Step 4: Simplify right side
    213,765.48x = 25,811,593,977.76
  5. Step 5: Solve for x
    x = 25,811,593,977.76/213,765.48
  6. Step 6: Final answer
    x = 120,747.25

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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.