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Finding the Fourth Proportional to 120,183.88, 180,199.50 and 63,989.32

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Solution

The fourth proportional to 120,183.88, 180,199.50 and 63,989.32 is: 95,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,183.88 : 180,199.50 = 63,989.32 : x
  2. Step 2: Convert to fraction form
    120,183.88/180,199.50 = 63,989.32/x
  3. Step 3: Cross multiply
    120,183.88x = 180,199.50 × 63,989.32
  4. Step 4: Simplify right side
    120,183.88x = 11,530,843,469.34
  5. Step 5: Solve for x
    x = 11,530,843,469.34/120,183.88
  6. Step 6: Final answer
    x = 95,943.35

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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.