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Finding the Fourth Proportional to 71,672.46, 98,906.04 and 39,840.54

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Solution

The fourth proportional to 71,672.46, 98,906.04 and 39,840.54 is: 54,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672.46 : 98,906.04 = 39,840.54 : x
  2. Step 2: Convert to fraction form
    71,672.46/98,906.04 = 39,840.54/x
  3. Step 3: Cross multiply
    71,672.46x = 98,906.04 × 39,840.54
  4. Step 4: Simplify right side
    71,672.46x = 3,940,470,042.86
  5. Step 5: Solve for x
    x = 3,940,470,042.86/71,672.46
  6. Step 6: Final answer
    x = 54,978.86

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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.