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Finding the Fourth Proportional to 81,657.86, 122,272.94 and 53,489.30

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Solution

The fourth proportional to 81,657.86, 122,272.94 and 53,489.30 is: 80,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,657.86 : 122,272.94 = 53,489.30 : x
  2. Step 2: Convert to fraction form
    81,657.86/122,272.94 = 53,489.30/x
  3. Step 3: Cross multiply
    81,657.86x = 122,272.94 × 53,489.30
  4. Step 4: Simplify right side
    81,657.86x = 6,540,293,491.90
  5. Step 5: Solve for x
    x = 6,540,293,491.90/81,657.86
  6. Step 6: Final answer
    x = 80,093.87

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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.