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Finding the Fourth Proportional to 257,156.49, 385,796.31 and 107,313.42

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Solution

The fourth proportional to 257,156.49, 385,796.31 and 107,313.42 is: 160,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,156.49 : 385,796.31 = 107,313.42 : x
  2. Step 2: Convert to fraction form
    257,156.49/385,796.31 = 107,313.42/x
  3. Step 3: Cross multiply
    257,156.49x = 385,796.31 × 107,313.42
  4. Step 4: Simplify right side
    257,156.49x = 41,401,121,449.48
  5. Step 5: Solve for x
    x = 41,401,121,449.48/257,156.49
  6. Step 6: Final answer
    x = 160,995.83

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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.