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Finding the Fourth Proportional to 257,153.55, 385,791.92 and 107,310.50

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Solution

The fourth proportional to 257,153.55, 385,791.92 and 107,310.50 is: 160,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,153.55 : 385,791.92 = 107,310.50 : x
  2. Step 2: Convert to fraction form
    257,153.55/385,791.92 = 107,310.50/x
  3. Step 3: Cross multiply
    257,153.55x = 385,791.92 × 107,310.50
  4. Step 4: Simplify right side
    257,153.55x = 41,399,521,365.65
  5. Step 5: Solve for x
    x = 41,399,521,365.65/257,153.55
  6. Step 6: Final answer
    x = 160,991.44

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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.