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Finding the Fourth Proportional to 82,659.49, 123,890.81 and 57,563.66

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Solution

The fourth proportional to 82,659.49, 123,890.81 and 57,563.66 is: 86,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,659.49 : 123,890.81 = 57,563.66 : x
  2. Step 2: Convert to fraction form
    82,659.49/123,890.81 = 57,563.66/x
  3. Step 3: Cross multiply
    82,659.49x = 123,890.81 × 57,563.66
  4. Step 4: Simplify right side
    82,659.49x = 7,131,608,463.96
  5. Step 5: Solve for x
    x = 7,131,608,463.96/82,659.49
  6. Step 6: Final answer
    x = 86,276.95

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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.