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Finding the Fourth Proportional to 203,408.64, 280,696.32 and 113,978.88

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Solution

The fourth proportional to 203,408.64, 280,696.32 and 113,978.88 is: 157,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,408.64 : 280,696.32 = 113,978.88 : x
  2. Step 2: Convert to fraction form
    203,408.64/280,696.32 = 113,978.88/x
  3. Step 3: Cross multiply
    203,408.64x = 280,696.32 × 113,978.88
  4. Step 4: Simplify right side
    203,408.64x = 31,993,452,173.72
  5. Step 5: Solve for x
    x = 31,993,452,173.72/203,408.64
  6. Step 6: Final answer
    x = 157,286.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.