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Finding the Fourth Proportional to 252,115.80, 347,919.86 and 137,394.46

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Solution

The fourth proportional to 252,115.80, 347,919.86 and 137,394.46 is: 189,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,115.80 : 347,919.86 = 137,394.46 : x
  2. Step 2: Convert to fraction form
    252,115.80/347,919.86 = 137,394.46/x
  3. Step 3: Cross multiply
    252,115.80x = 347,919.86 × 137,394.46
  4. Step 4: Simplify right side
    252,115.80x = 47,802,261,287.98
  5. Step 5: Solve for x
    x = 47,802,261,287.98/252,115.80
  6. Step 6: Final answer
    x = 189,604.39

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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.