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Finding the Fourth Proportional to 85,765.44, 128,845.92 and 82,222.56

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Solution

The fourth proportional to 85,765.44, 128,845.92 and 82,222.56 is: 123,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,765.44 : 128,845.92 = 82,222.56 : x
  2. Step 2: Convert to fraction form
    85,765.44/128,845.92 = 82,222.56/x
  3. Step 3: Cross multiply
    85,765.44x = 128,845.92 × 82,222.56
  4. Step 4: Simplify right side
    85,765.44x = 10,594,041,387.96
  5. Step 5: Solve for x
    x = 10,594,041,387.96/85,765.44
  6. Step 6: Final answer
    x = 123,523.43

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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.