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Finding the Fourth Proportional to 57,243.92, 85,866.12 and 20,282

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Solution

The fourth proportional to 57,243.92, 85,866.12 and 20,282 is: 30,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.92 : 85,866.12 = 20,282 : x
  2. Step 2: Convert to fraction form
    57,243.92/85,866.12 = 20,282/x
  3. Step 3: Cross multiply
    57,243.92x = 85,866.12 × 20,282
  4. Step 4: Simplify right side
    57,243.92x = 1,741,536,645.84
  5. Step 5: Solve for x
    x = 1,741,536,645.84/57,243.92
  6. Step 6: Final answer
    x = 30,423.09

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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.