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Finding the Fourth Proportional to 57,603.65, 86,414.57 and 20,162.81

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Solution

The fourth proportional to 57,603.65, 86,414.57 and 20,162.81 is: 30,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,603.65 : 86,414.57 = 20,162.81 : x
  2. Step 2: Convert to fraction form
    57,603.65/86,414.57 = 20,162.81/x
  3. Step 3: Cross multiply
    57,603.65x = 86,414.57 × 20,162.81
  4. Step 4: Simplify right side
    57,603.65x = 1,742,360,023.25
  5. Step 5: Solve for x
    x = 1,742,360,023.25/57,603.65
  6. Step 6: Final answer
    x = 30,247.39

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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.