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Finding the Fourth Proportional to 70,002, 105,003 and 20,754

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Solution

The fourth proportional to 70,002, 105,003 and 20,754 is: 31,131

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002 : 105,003 = 20,754 : x
  2. Step 2: Convert to fraction form
    70,002/105,003 = 20,754/x
  3. Step 3: Cross multiply
    70,002x = 105,003 × 20,754
  4. Step 4: Simplify right side
    70,002x = 2,179,232,262
  5. Step 5: Solve for x
    x = 2,179,232,262/70,002
  6. Step 6: Final answer
    x = 31,131

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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.