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Finding the Fourth Proportional to 256,146.08, 384,249.76 and 78,629.76

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Solution

The fourth proportional to 256,146.08, 384,249.76 and 78,629.76 is: 117,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,146.08 : 384,249.76 = 78,629.76 : x
  2. Step 2: Convert to fraction form
    256,146.08/384,249.76 = 78,629.76/x
  3. Step 3: Cross multiply
    256,146.08x = 384,249.76 × 78,629.76
  4. Step 4: Simplify right side
    256,146.08x = 30,213,466,408.86
  5. Step 5: Solve for x
    x = 30,213,466,408.86/256,146.08
  6. Step 6: Final answer
    x = 117,954.05

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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.