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Finding the Fourth Proportional to 57,446.72, 86,209 and 20,006.58

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Solution

The fourth proportional to 57,446.72, 86,209 and 20,006.58 is: 30,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,446.72 : 86,209 = 20,006.58 : x
  2. Step 2: Convert to fraction form
    57,446.72/86,209 = 20,006.58/x
  3. Step 3: Cross multiply
    57,446.72x = 86,209 × 20,006.58
  4. Step 4: Simplify right side
    57,446.72x = 1,724,747,255.22
  5. Step 5: Solve for x
    x = 1,724,747,255.22/57,446.72
  6. Step 6: Final answer
    x = 30,023.42

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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.