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Finding the Fourth Proportional to 196,408.32, 271,043.20 and 106,984.32

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Solution

The fourth proportional to 196,408.32, 271,043.20 and 106,984.32 is: 147,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,408.32 : 271,043.20 = 106,984.32 : x
  2. Step 2: Convert to fraction form
    196,408.32/271,043.20 = 106,984.32/x
  3. Step 3: Cross multiply
    196,408.32x = 271,043.20 × 106,984.32
  4. Step 4: Simplify right side
    196,408.32x = 28,997,372,442.62
  5. Step 5: Solve for x
    x = 28,997,372,442.62/196,408.32
  6. Step 6: Final answer
    x = 147,638.21

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