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Finding the Fourth Proportional to 55,911.29, 83,866.92 and 38,327.81

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Solution

The fourth proportional to 55,911.29, 83,866.92 and 38,327.81 is: 57,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,911.29 : 83,866.92 = 38,327.81 : x
  2. Step 2: Convert to fraction form
    55,911.29/83,866.92 = 38,327.81/x
  3. Step 3: Cross multiply
    55,911.29x = 83,866.92 × 38,327.81
  4. Step 4: Simplify right side
    55,911.29x = 3,214,435,375.05
  5. Step 5: Solve for x
    x = 3,214,435,375.05/55,911.29
  6. Step 6: Final answer
    x = 57,491.70

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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.