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Finding the Fourth Proportional to 196,644.69, 271,390.49 and 120,208.53

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Solution

The fourth proportional to 196,644.69, 271,390.49 and 120,208.53 is: 165,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,644.69 : 271,390.49 = 120,208.53 : x
  2. Step 2: Convert to fraction form
    196,644.69/271,390.49 = 120,208.53/x
  3. Step 3: Cross multiply
    196,644.69x = 271,390.49 × 120,208.53
  4. Step 4: Simplify right side
    196,644.69x = 32,623,451,858.88
  5. Step 5: Solve for x
    x = 32,623,451,858.88/196,644.69
  6. Step 6: Final answer
    x = 165,900.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.