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Finding the Fourth Proportional to 257,153.07, 385,791.17 and 107,310

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Solution

The fourth proportional to 257,153.07, 385,791.17 and 107,310 is: 160,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,153.07 : 385,791.17 = 107,310 : x
  2. Step 2: Convert to fraction form
    257,153.07/385,791.17 = 107,310/x
  3. Step 3: Cross multiply
    257,153.07x = 385,791.17 × 107,310
  4. Step 4: Simplify right side
    257,153.07x = 41,399,250,452.70
  5. Step 5: Solve for x
    x = 41,399,250,452.70/257,153.07
  6. Step 6: Final answer
    x = 160,990.69

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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.