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Finding the Fourth Proportional to 256,832.87, 385,238.23 and 67,289.06

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Solution

The fourth proportional to 256,832.87, 385,238.23 and 67,289.06 is: 100,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,832.87 : 385,238.23 = 67,289.06 : x
  2. Step 2: Convert to fraction form
    256,832.87/385,238.23 = 67,289.06/x
  3. Step 3: Cross multiply
    256,832.87x = 385,238.23 × 67,289.06
  4. Step 4: Simplify right side
    256,832.87x = 25,922,319,167.64
  5. Step 5: Solve for x
    x = 25,922,319,167.64/256,832.87
  6. Step 6: Final answer
    x = 100,930.69

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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.