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Finding the Fourth Proportional to 196,786, 271,585.58 and 120,349.80

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Solution

The fourth proportional to 196,786, 271,585.58 and 120,349.80 is: 166,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,786 : 271,585.58 = 120,349.80 : x
  2. Step 2: Convert to fraction form
    196,786/271,585.58 = 120,349.80/x
  3. Step 3: Cross multiply
    196,786x = 271,585.58 × 120,349.80
  4. Step 4: Simplify right side
    196,786x = 32,685,270,235.88
  5. Step 5: Solve for x
    x = 32,685,270,235.88/196,786
  6. Step 6: Final answer
    x = 166,095.51

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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.