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Finding the Fourth Proportional to 57,878.73, 86,845.11 and 20,467.14

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Solution

The fourth proportional to 57,878.73, 86,845.11 and 20,467.14 is: 30,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.73 : 86,845.11 = 20,467.14 : x
  2. Step 2: Convert to fraction form
    57,878.73/86,845.11 = 20,467.14/x
  3. Step 3: Cross multiply
    57,878.73x = 86,845.11 × 20,467.14
  4. Step 4: Simplify right side
    57,878.73x = 1,777,471,024.69
  5. Step 5: Solve for x
    x = 1,777,471,024.69/57,878.73
  6. Step 6: Final answer
    x = 30,710.26

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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.