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Finding the Fourth Proportional to 70,004, 105,006 and 20,756

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Solution

The fourth proportional to 70,004, 105,006 and 20,756 is: 31,134

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,004 : 105,006 = 20,756 : x
  2. Step 2: Convert to fraction form
    70,004/105,006 = 20,756/x
  3. Step 3: Cross multiply
    70,004x = 105,006 × 20,756
  4. Step 4: Simplify right side
    70,004x = 2,179,504,536
  5. Step 5: Solve for x
    x = 2,179,504,536/70,004
  6. Step 6: Final answer
    x = 31,134

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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.