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Finding the Fourth Proportional to 33,315.91, 49,949.16 and 20,165.20

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Solution

The fourth proportional to 33,315.91, 49,949.16 and 20,165.20 is: 30,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,315.91 : 49,949.16 = 20,165.20 : x
  2. Step 2: Convert to fraction form
    33,315.91/49,949.16 = 20,165.20/x
  3. Step 3: Cross multiply
    33,315.91x = 49,949.16 × 20,165.20
  4. Step 4: Simplify right side
    33,315.91x = 1,007,234,801.23
  5. Step 5: Solve for x
    x = 1,007,234,801.23/33,315.91
  6. Step 6: Final answer
    x = 30,232.85

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1.5x scale

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.