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Finding the Fourth Proportional to 252,965.80, 349,097.80 and 138,251.56

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Solution

The fourth proportional to 252,965.80, 349,097.80 and 138,251.56 is: 190,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,965.80 : 349,097.80 = 138,251.56 : x
  2. Step 2: Convert to fraction form
    252,965.80/349,097.80 = 138,251.56/x
  3. Step 3: Cross multiply
    252,965.80x = 349,097.80 × 138,251.56
  4. Step 4: Simplify right side
    252,965.80x = 48,263,315,442.57
  5. Step 5: Solve for x
    x = 48,263,315,442.57/252,965.80
  6. Step 6: Final answer
    x = 190,789.88

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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.