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Finding the Fourth Proportional to 220,728, 304,604.64 and 120,126.72

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Solution

The fourth proportional to 220,728, 304,604.64 and 120,126.72 is: 165,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,728 : 304,604.64 = 120,126.72 : x
  2. Step 2: Convert to fraction form
    220,728/304,604.64 = 120,126.72/x
  3. Step 3: Cross multiply
    220,728x = 304,604.64 × 120,126.72
  4. Step 4: Simplify right side
    220,728x = 36,591,156,299.98
  5. Step 5: Solve for x
    x = 36,591,156,299.98/220,728
  6. Step 6: Final answer
    x = 165,774.87

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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.