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Finding the Fourth Proportional to 85,732.44, 128,796.30 and 82,189.56

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Solution

The fourth proportional to 85,732.44, 128,796.30 and 82,189.56 is: 123,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732.44 : 128,796.30 = 82,189.56 : x
  2. Step 2: Convert to fraction form
    85,732.44/128,796.30 = 82,189.56/x
  3. Step 3: Cross multiply
    85,732.44x = 128,796.30 × 82,189.56
  4. Step 4: Simplify right side
    85,732.44x = 10,585,711,226.63
  5. Step 5: Solve for x
    x = 10,585,711,226.63/85,732.44
  6. Step 6: Final answer
    x = 123,473.81

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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.