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Finding the Fourth Proportional to 47,231.88, 70,799.22 and 20,949

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Solution

The fourth proportional to 47,231.88, 70,799.22 and 20,949 is: 31,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,231.88 : 70,799.22 = 20,949 : x
  2. Step 2: Convert to fraction form
    47,231.88/70,799.22 = 20,949/x
  3. Step 3: Cross multiply
    47,231.88x = 70,799.22 × 20,949
  4. Step 4: Simplify right side
    47,231.88x = 1,483,172,859.78
  5. Step 5: Solve for x
    x = 1,483,172,859.78/47,231.88
  6. Step 6: Final answer
    x = 31,401.94

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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.