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Finding the Fourth Proportional to 45,384, 68,101.92 and 20,760

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Solution

The fourth proportional to 45,384, 68,101.92 and 20,760 is: 31,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384 : 68,101.92 = 20,760 : x
  2. Step 2: Convert to fraction form
    45,384/68,101.92 = 20,760/x
  3. Step 3: Cross multiply
    45,384x = 68,101.92 × 20,760
  4. Step 4: Simplify right side
    45,384x = 1,413,795,859.20
  5. Step 5: Solve for x
    x = 1,413,795,859.20/45,384
  6. Step 6: Final answer
    x = 31,151.86

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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.