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Finding the Fourth Proportional to 70,921.98, 106,383.30 and 21,003

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Solution

The fourth proportional to 70,921.98, 106,383.30 and 21,003 is: 31,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,921.98 : 106,383.30 = 21,003 : x
  2. Step 2: Convert to fraction form
    70,921.98/106,383.30 = 21,003/x
  3. Step 3: Cross multiply
    70,921.98x = 106,383.30 × 21,003
  4. Step 4: Simplify right side
    70,921.98x = 2,234,368,449.90
  5. Step 5: Solve for x
    x = 2,234,368,449.90/70,921.98
  6. Step 6: Final answer
    x = 31,504.60

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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.