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Finding the Fourth Proportional to 196,956, 271,809.12 and 112,080.96

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Solution

The fourth proportional to 196,956, 271,809.12 and 112,080.96 is: 154,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,956 : 271,809.12 = 112,080.96 : x
  2. Step 2: Convert to fraction form
    196,956/271,809.12 = 112,080.96/x
  3. Step 3: Cross multiply
    196,956x = 271,809.12 × 112,080.96
  4. Step 4: Simplify right side
    196,956x = 30,464,627,106.36
  5. Step 5: Solve for x
    x = 30,464,627,106.36/196,956
  6. Step 6: Final answer
    x = 154,677.32

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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.