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Finding the Fourth Proportional to 256,757.10, 385,157.72 and 67,216.69

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Solution

The fourth proportional to 256,757.10, 385,157.72 and 67,216.69 is: 100,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,757.10 : 385,157.72 = 67,216.69 : x
  2. Step 2: Convert to fraction form
    256,757.10/385,157.72 = 67,216.69/x
  3. Step 3: Cross multiply
    256,757.10x = 385,157.72 × 67,216.69
  4. Step 4: Simplify right side
    256,757.10x = 25,889,027,066.35
  5. Step 5: Solve for x
    x = 25,889,027,066.35/256,757.10
  6. Step 6: Final answer
    x = 100,830.81

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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.