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Finding the Fourth Proportional to 196,863.40, 271,671.42 and 107,439.40

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Solution

The fourth proportional to 196,863.40, 271,671.42 and 107,439.40 is: 148,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863.40 : 271,671.42 = 107,439.40 : x
  2. Step 2: Convert to fraction form
    196,863.40/271,671.42 = 107,439.40/x
  3. Step 3: Cross multiply
    196,863.40x = 271,671.42 × 107,439.40
  4. Step 4: Simplify right side
    196,863.40x = 29,188,214,361.95
  5. Step 5: Solve for x
    x = 29,188,214,361.95/196,863.40
  6. Step 6: Final answer
    x = 148,266.33

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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.