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Finding the Fourth Proportional to 251,806.25, 347,481.29 and 137,081.96

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Solution

The fourth proportional to 251,806.25, 347,481.29 and 137,081.96 is: 189,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,806.25 : 347,481.29 = 137,081.96 : x
  2. Step 2: Convert to fraction form
    251,806.25/347,481.29 = 137,081.96/x
  3. Step 3: Cross multiply
    251,806.25x = 347,481.29 × 137,081.96
  4. Step 4: Simplify right side
    251,806.25x = 47,633,416,296.53
  5. Step 5: Solve for x
    x = 47,633,416,296.53/251,806.25
  6. Step 6: Final answer
    x = 189,166.93

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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.