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Finding the Fourth Proportional to 257,761.75, 386,125.26 and 131,396.89

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Solution

The fourth proportional to 257,761.75, 386,125.26 and 131,396.89 is: 196,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,761.75 : 386,125.26 = 131,396.89 : x
  2. Step 2: Convert to fraction form
    257,761.75/386,125.26 = 131,396.89/x
  3. Step 3: Cross multiply
    257,761.75x = 386,125.26 × 131,396.89
  4. Step 4: Simplify right side
    257,761.75x = 50,735,658,314.44
  5. Step 5: Solve for x
    x = 50,735,658,314.44/257,761.75
  6. Step 6: Final answer
    x = 196,831.60

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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.