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Finding the Fourth Proportional to 132,039.86, 197,721.68 and 72,809.82

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Solution

The fourth proportional to 132,039.86, 197,721.68 and 72,809.82 is: 109,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,039.86 : 197,721.68 = 72,809.82 : x
  2. Step 2: Convert to fraction form
    132,039.86/197,721.68 = 72,809.82/x
  3. Step 3: Cross multiply
    132,039.86x = 197,721.68 × 72,809.82
  4. Step 4: Simplify right side
    132,039.86x = 14,396,079,566.85
  5. Step 5: Solve for x
    x = 14,396,079,566.85/132,039.86
  6. Step 6: Final answer
    x = 109,028.29

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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.