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Finding the Fourth Proportional to 256,145.66, 384,184.46 and 76,227.86

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Solution

The fourth proportional to 256,145.66, 384,184.46 and 76,227.86 is: 114,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,145.66 : 384,184.46 = 76,227.86 : x
  2. Step 2: Convert to fraction form
    256,145.66/384,184.46 = 76,227.86/x
  3. Step 3: Cross multiply
    256,145.66x = 384,184.46 × 76,227.86
  4. Step 4: Simplify right side
    256,145.66x = 29,285,556,928.99
  5. Step 5: Solve for x
    x = 29,285,556,928.99/256,145.66
  6. Step 6: Final answer
    x = 114,331.66

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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.