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Finding the Fourth Proportional to 257,142.42, 385,775.22 and 107,299.37

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Solution

The fourth proportional to 257,142.42, 385,775.22 and 107,299.37 is: 160,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,142.42 : 385,775.22 = 107,299.37 : x
  2. Step 2: Convert to fraction form
    257,142.42/385,775.22 = 107,299.37/x
  3. Step 3: Cross multiply
    257,142.42x = 385,775.22 × 107,299.37
  4. Step 4: Simplify right side
    257,142.42x = 41,393,436,138.74
  5. Step 5: Solve for x
    x = 41,393,436,138.74/257,142.42
  6. Step 6: Final answer
    x = 160,974.75

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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.