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Finding the Fourth Proportional to 196,395, 271,025.10 and 106,971

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Solution

The fourth proportional to 196,395, 271,025.10 and 106,971 is: 147,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,395 : 271,025.10 = 106,971 : x
  2. Step 2: Convert to fraction form
    196,395/271,025.10 = 106,971/x
  3. Step 3: Cross multiply
    196,395x = 271,025.10 × 106,971
  4. Step 4: Simplify right side
    196,395x = 28,991,825,972.10
  5. Step 5: Solve for x
    x = 28,991,825,972.10/196,395
  6. Step 6: Final answer
    x = 147,619.98

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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.