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Finding the Fourth Proportional to 257,237.96, 385,857.08 and 107,396.56

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Solution

The fourth proportional to 257,237.96, 385,857.08 and 107,396.56 is: 161,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,237.96 : 385,857.08 = 107,396.56 : x
  2. Step 2: Convert to fraction form
    257,237.96/385,857.08 = 107,396.56/x
  3. Step 3: Cross multiply
    257,237.96x = 385,857.08 × 107,396.56
  4. Step 4: Simplify right side
    257,237.96x = 41,439,722,347.49
  5. Step 5: Solve for x
    x = 41,439,722,347.49/257,237.96
  6. Step 6: Final answer
    x = 161,094.90

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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.