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Finding the Fourth Proportional to 196,897.10, 271,738.40 and 120,467.12

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Solution

The fourth proportional to 196,897.10, 271,738.40 and 120,467.12 is: 166,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,897.10 : 271,738.40 = 120,467.12 : x
  2. Step 2: Convert to fraction form
    196,897.10/271,738.40 = 120,467.12/x
  3. Step 3: Cross multiply
    196,897.10x = 271,738.40 × 120,467.12
  4. Step 4: Simplify right side
    196,897.10x = 32,735,540,480.38
  5. Step 5: Solve for x
    x = 32,735,540,480.38/196,897.10
  6. Step 6: Final answer
    x = 166,257.10

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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.