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Finding the Fourth Proportional to 231,830.80, 347,798.30 and 125,212.48

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Solution

The fourth proportional to 231,830.80, 347,798.30 and 125,212.48 is: 187,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,830.80 : 347,798.30 = 125,212.48 : x
  2. Step 2: Convert to fraction form
    231,830.80/347,798.30 = 125,212.48/x
  3. Step 3: Cross multiply
    231,830.80x = 347,798.30 × 125,212.48
  4. Step 4: Simplify right side
    231,830.80x = 43,548,687,682.78
  5. Step 5: Solve for x
    x = 43,548,687,682.78/231,830.80
  6. Step 6: Final answer
    x = 187,846.86

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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.