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Finding the Fourth Proportional to 57,583.50, 86,385.96 and 20,142.69

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Solution

The fourth proportional to 57,583.50, 86,385.96 and 20,142.69 is: 30,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583.50 : 86,385.96 = 20,142.69 : x
  2. Step 2: Convert to fraction form
    57,583.50/86,385.96 = 20,142.69/x
  3. Step 3: Cross multiply
    57,583.50x = 86,385.96 × 20,142.69
  4. Step 4: Simplify right side
    57,583.50x = 1,740,045,612.63
  5. Step 5: Solve for x
    x = 1,740,045,612.63/57,583.50
  6. Step 6: Final answer
    x = 30,217.78

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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.