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Finding the Fourth Proportional to 57,217, 85,838.48 and 20,281

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Solution

The fourth proportional to 57,217, 85,838.48 and 20,281 is: 30,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,217 : 85,838.48 = 20,281 : x
  2. Step 2: Convert to fraction form
    57,217/85,838.48 = 20,281/x
  3. Step 3: Cross multiply
    57,217x = 85,838.48 × 20,281
  4. Step 4: Simplify right side
    57,217x = 1,740,890,212.88
  5. Step 5: Solve for x
    x = 1,740,890,212.88/57,217
  6. Step 6: Final answer
    x = 30,426.10

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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.