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Finding the Fourth Proportional to 135,216.30, 202,435.65 and 82,728.30

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Solution

The fourth proportional to 135,216.30, 202,435.65 and 82,728.30 is: 123,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,216.30 : 202,435.65 = 82,728.30 : x
  2. Step 2: Convert to fraction form
    135,216.30/202,435.65 = 82,728.30/x
  3. Step 3: Cross multiply
    135,216.30x = 202,435.65 × 82,728.30
  4. Step 4: Simplify right side
    135,216.30x = 16,747,157,183.90
  5. Step 5: Solve for x
    x = 16,747,157,183.90/135,216.30
  6. Step 6: Final answer
    x = 123,854.57

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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.