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Finding the Fourth Proportional to 120,057.87, 180,135.24 and 53,452.48

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Solution

The fourth proportional to 120,057.87, 180,135.24 and 53,452.48 is: 80,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,057.87 : 180,135.24 = 53,452.48 : x
  2. Step 2: Convert to fraction form
    120,057.87/180,135.24 = 53,452.48/x
  3. Step 3: Cross multiply
    120,057.87x = 180,135.24 × 53,452.48
  4. Step 4: Simplify right side
    120,057.87x = 9,628,675,313.40
  5. Step 5: Solve for x
    x = 9,628,675,313.40/120,057.87
  6. Step 6: Final answer
    x = 80,200.28

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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.