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Finding the Fourth Proportional to 51,857, 71,562.66 and 28,305

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Solution

The fourth proportional to 51,857, 71,562.66 and 28,305 is: 39,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,857 : 71,562.66 = 28,305 : x
  2. Step 2: Convert to fraction form
    51,857/71,562.66 = 28,305/x
  3. Step 3: Cross multiply
    51,857x = 71,562.66 × 28,305
  4. Step 4: Simplify right side
    51,857x = 2,025,581,091.30
  5. Step 5: Solve for x
    x = 2,025,581,091.30/51,857
  6. Step 6: Final answer
    x = 39,060.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.