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Finding the Fourth Proportional to 231,805.91, 347,708.87 and 126,567.47

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Solution

The fourth proportional to 231,805.91, 347,708.87 and 126,567.47 is: 189,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,805.91 : 347,708.87 = 126,567.47 : x
  2. Step 2: Convert to fraction form
    231,805.91/347,708.87 = 126,567.47/x
  3. Step 3: Cross multiply
    231,805.91x = 347,708.87 × 126,567.47
  4. Step 4: Simplify right side
    231,805.91x = 44,008,629,601.08
  5. Step 5: Solve for x
    x = 44,008,629,601.08/231,805.91
  6. Step 6: Final answer
    x = 189,851.20

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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.