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Finding the Fourth Proportional to 256,793.49, 384,981.46 and 107,145.25

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Solution

The fourth proportional to 256,793.49, 384,981.46 and 107,145.25 is: 160,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,793.49 : 384,981.46 = 107,145.25 : x
  2. Step 2: Convert to fraction form
    256,793.49/384,981.46 = 107,145.25/x
  3. Step 3: Cross multiply
    256,793.49x = 384,981.46 × 107,145.25
  4. Step 4: Simplify right side
    256,793.49x = 41,248,933,546.75
  5. Step 5: Solve for x
    x = 41,248,933,546.75/256,793.49
  6. Step 6: Final answer
    x = 160,630.76

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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.