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Finding the Fourth Proportional to 263,568.68, 363,725.50 and 142,709

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Solution

The fourth proportional to 263,568.68, 363,725.50 and 142,709 is: 196,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,568.68 : 363,725.50 = 142,709 : x
  2. Step 2: Convert to fraction form
    263,568.68/363,725.50 = 142,709/x
  3. Step 3: Cross multiply
    263,568.68x = 363,725.50 × 142,709
  4. Step 4: Simplify right side
    263,568.68x = 51,906,902,379.50
  5. Step 5: Solve for x
    x = 51,906,902,379.50/263,568.68
  6. Step 6: Final answer
    x = 196,938.81

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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.