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Finding the Fourth Proportional to 196,643.69, 271,389.11 and 120,207.52

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Solution

The fourth proportional to 196,643.69, 271,389.11 and 120,207.52 is: 165,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,643.69 : 271,389.11 = 120,207.52 : x
  2. Step 2: Convert to fraction form
    196,643.69/271,389.11 = 120,207.52/x
  3. Step 3: Cross multiply
    196,643.69x = 271,389.11 × 120,207.52
  4. Step 4: Simplify right side
    196,643.69x = 32,623,011,606.31
  5. Step 5: Solve for x
    x = 32,623,011,606.31/196,643.69
  6. Step 6: Final answer
    x = 165,899.10

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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.