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Finding the Fourth Proportional to 70,204, 105,306 and 20,956

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Solution

The fourth proportional to 70,204, 105,306 and 20,956 is: 31,434

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,204 : 105,306 = 20,956 : x
  2. Step 2: Convert to fraction form
    70,204/105,306 = 20,956/x
  3. Step 3: Cross multiply
    70,204x = 105,306 × 20,956
  4. Step 4: Simplify right side
    70,204x = 2,206,792,536
  5. Step 5: Solve for x
    x = 2,206,792,536/70,204
  6. Step 6: Final answer
    x = 31,434

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.