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Finding the Fourth Proportional to 70,940.12, 106,425.75 and 21,024.12

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Solution

The fourth proportional to 70,940.12, 106,425.75 and 21,024.12 is: 31,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.12 : 106,425.75 = 21,024.12 : x
  2. Step 2: Convert to fraction form
    70,940.12/106,425.75 = 21,024.12/x
  3. Step 3: Cross multiply
    70,940.12x = 106,425.75 × 21,024.12
  4. Step 4: Simplify right side
    70,940.12x = 2,237,508,217.03
  5. Step 5: Solve for x
    x = 2,237,508,217.03/70,940.12
  6. Step 6: Final answer
    x = 31,540.80

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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.