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Finding the Fourth Proportional to 257,791.85, 386,230.25 and 107,701.82

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Solution

The fourth proportional to 257,791.85, 386,230.25 and 107,701.82 is: 161,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,791.85 : 386,230.25 = 107,701.82 : x
  2. Step 2: Convert to fraction form
    257,791.85/386,230.25 = 107,701.82/x
  3. Step 3: Cross multiply
    257,791.85x = 386,230.25 × 107,701.82
  4. Step 4: Simplify right side
    257,791.85x = 41,597,698,394.39
  5. Step 5: Solve for x
    x = 41,597,698,394.39/257,791.85
  6. Step 6: Final answer
    x = 161,361.58

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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.