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Finding the Fourth Proportional to 257,153.49, 385,791.81 and 107,310.42

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Solution

The fourth proportional to 257,153.49, 385,791.81 and 107,310.42 is: 160,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,153.49 : 385,791.81 = 107,310.42 : x
  2. Step 2: Convert to fraction form
    257,153.49/385,791.81 = 107,310.42/x
  3. Step 3: Cross multiply
    257,153.49x = 385,791.81 × 107,310.42
  4. Step 4: Simplify right side
    257,153.49x = 41,399,481,163.66
  5. Step 5: Solve for x
    x = 41,399,481,163.66/257,153.49
  6. Step 6: Final answer
    x = 160,991.33

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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.