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Finding the Fourth Proportional to 253,694.40, 350,109.68 and 140,516.88

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Solution

The fourth proportional to 253,694.40, 350,109.68 and 140,516.88 is: 193,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694.40 : 350,109.68 = 140,516.88 : x
  2. Step 2: Convert to fraction form
    253,694.40/350,109.68 = 140,516.88/x
  3. Step 3: Cross multiply
    253,694.40x = 350,109.68 × 140,516.88
  4. Step 4: Simplify right side
    253,694.40x = 49,196,319,891.40
  5. Step 5: Solve for x
    x = 49,196,319,891.40/253,694.40
  6. Step 6: Final answer
    x = 193,919.61

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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.