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Finding the Fourth Proportional to 220,791, 304,691.64 and 120,189

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Solution

The fourth proportional to 220,791, 304,691.64 and 120,189 is: 165,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,791 : 304,691.64 = 120,189 : x
  2. Step 2: Convert to fraction form
    220,791/304,691.64 = 120,189/x
  3. Step 3: Cross multiply
    220,791x = 304,691.64 × 120,189
  4. Step 4: Simplify right side
    220,791x = 36,620,583,519.96
  5. Step 5: Solve for x
    x = 36,620,583,519.96/220,791
  6. Step 6: Final answer
    x = 165,860.85

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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.