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Finding the Fourth Proportional to 57,706.10, 86,537.55 and 20,251.70

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Solution

The fourth proportional to 57,706.10, 86,537.55 and 20,251.70 is: 30,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.10 : 86,537.55 = 20,251.70 : x
  2. Step 2: Convert to fraction form
    57,706.10/86,537.55 = 20,251.70/x
  3. Step 3: Cross multiply
    57,706.10x = 86,537.55 × 20,251.70
  4. Step 4: Simplify right side
    57,706.10x = 1,752,532,501.34
  5. Step 5: Solve for x
    x = 1,752,532,501.34/57,706.10
  6. Step 6: Final answer
    x = 30,369.97

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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.