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Finding the Fourth Proportional to 55,286.26, 82,807.83 and 45,689.82

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Solution

The fourth proportional to 55,286.26, 82,807.83 and 45,689.82 is: 68,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.26 : 82,807.83 = 45,689.82 : x
  2. Step 2: Convert to fraction form
    55,286.26/82,807.83 = 45,689.82/x
  3. Step 3: Cross multiply
    55,286.26x = 82,807.83 × 45,689.82
  4. Step 4: Simplify right side
    55,286.26x = 3,783,474,542.79
  5. Step 5: Solve for x
    x = 3,783,474,542.79/55,286.26
  6. Step 6: Final answer
    x = 68,434.27

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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.