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Finding the Fourth Proportional to 57,885.99, 86,839.31 and 20,467.78

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Solution

The fourth proportional to 57,885.99, 86,839.31 and 20,467.78 is: 30,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885.99 : 86,839.31 = 20,467.78 : x
  2. Step 2: Convert to fraction form
    57,885.99/86,839.31 = 20,467.78/x
  3. Step 3: Cross multiply
    57,885.99x = 86,839.31 × 20,467.78
  4. Step 4: Simplify right side
    57,885.99x = 1,777,408,007.19
  5. Step 5: Solve for x
    x = 1,777,408,007.19/57,885.99
  6. Step 6: Final answer
    x = 30,705.33

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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.