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Finding the Fourth Proportional to 252,120.54, 347,916.21 and 137,396.73

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Solution

The fourth proportional to 252,120.54, 347,916.21 and 137,396.73 is: 189,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,120.54 : 347,916.21 = 137,396.73 : x
  2. Step 2: Convert to fraction form
    252,120.54/347,916.21 = 137,396.73/x
  3. Step 3: Cross multiply
    252,120.54x = 347,916.21 × 137,396.73
  4. Step 4: Simplify right side
    252,120.54x = 47,802,550,357.44
  5. Step 5: Solve for x
    x = 47,802,550,357.44/252,120.54
  6. Step 6: Final answer
    x = 189,601.96

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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.