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Finding the Fourth Proportional to 120,696.74, 181,001.91 and 41,789.78

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Solution

The fourth proportional to 120,696.74, 181,001.91 and 41,789.78 is: 62,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,696.74 : 181,001.91 = 41,789.78 : x
  2. Step 2: Convert to fraction form
    120,696.74/181,001.91 = 41,789.78/x
  3. Step 3: Cross multiply
    120,696.74x = 181,001.91 × 41,789.78
  4. Step 4: Simplify right side
    120,696.74x = 7,564,029,998.48
  5. Step 5: Solve for x
    x = 7,564,029,998.48/120,696.74
  6. Step 6: Final answer
    x = 62,669.71

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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.