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Finding the Fourth Proportional to 57,207.50, 85,824.22 and 20,271.50

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Solution

The fourth proportional to 57,207.50, 85,824.22 and 20,271.50 is: 30,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.50 : 85,824.22 = 20,271.50 : x
  2. Step 2: Convert to fraction form
    57,207.50/85,824.22 = 20,271.50/x
  3. Step 3: Cross multiply
    57,207.50x = 85,824.22 × 20,271.50
  4. Step 4: Simplify right side
    57,207.50x = 1,739,785,675.73
  5. Step 5: Solve for x
    x = 1,739,785,675.73/57,207.50
  6. Step 6: Final answer
    x = 30,411.85

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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.