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Finding the Fourth Proportional to 57,603.26, 86,414.01 and 20,162.43

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Solution

The fourth proportional to 57,603.26, 86,414.01 and 20,162.43 is: 30,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,603.26 : 86,414.01 = 20,162.43 : x
  2. Step 2: Convert to fraction form
    57,603.26/86,414.01 = 20,162.43/x
  3. Step 3: Cross multiply
    57,603.26x = 86,414.01 × 20,162.43
  4. Step 4: Simplify right side
    57,603.26x = 1,742,316,352.04
  5. Step 5: Solve for x
    x = 1,742,316,352.04/57,603.26
  6. Step 6: Final answer
    x = 30,246.83

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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.