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Finding the Fourth Proportional to 256,749.21, 385,101.95 and 79,257.56

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Solution

The fourth proportional to 256,749.21, 385,101.95 and 79,257.56 is: 118,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,749.21 : 385,101.95 = 79,257.56 : x
  2. Step 2: Convert to fraction form
    256,749.21/385,101.95 = 79,257.56/x
  3. Step 3: Cross multiply
    256,749.21x = 385,101.95 × 79,257.56
  4. Step 4: Simplify right side
    256,749.21x = 30,522,238,586.44
  5. Step 5: Solve for x
    x = 30,522,238,586.44/256,749.21
  6. Step 6: Final answer
    x = 118,879.58

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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.