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Finding the Fourth Proportional to 55,165.59, 82,760.81 and 20,105.37

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Solution

The fourth proportional to 55,165.59, 82,760.81 and 20,105.37 is: 30,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165.59 : 82,760.81 = 20,105.37 : x
  2. Step 2: Convert to fraction form
    55,165.59/82,760.81 = 20,105.37/x
  3. Step 3: Cross multiply
    55,165.59x = 82,760.81 × 20,105.37
  4. Step 4: Simplify right side
    55,165.59x = 1,663,936,606.02
  5. Step 5: Solve for x
    x = 1,663,936,606.02/55,165.59
  6. Step 6: Final answer
    x = 30,162.58

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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.