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Finding the Fourth Proportional to 229,375.81, 344,063.75 and 71,617.78

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Solution

The fourth proportional to 229,375.81, 344,063.75 and 71,617.78 is: 107,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,375.81 : 344,063.75 = 71,617.78 : x
  2. Step 2: Convert to fraction form
    229,375.81/344,063.75 = 71,617.78/x
  3. Step 3: Cross multiply
    229,375.81x = 344,063.75 × 71,617.78
  4. Step 4: Simplify right side
    229,375.81x = 24,641,080,735.23
  5. Step 5: Solve for x
    x = 24,641,080,735.23/229,375.81
  6. Step 6: Final answer
    x = 107,426.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.