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Finding the Fourth Proportional to 33,156.95, 49,738.12 and 19,920.13

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Solution

The fourth proportional to 33,156.95, 49,738.12 and 19,920.13 is: 29,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.95 : 49,738.12 = 19,920.13 : x
  2. Step 2: Convert to fraction form
    33,156.95/49,738.12 = 19,920.13/x
  3. Step 3: Cross multiply
    33,156.95x = 49,738.12 × 19,920.13
  4. Step 4: Simplify right side
    33,156.95x = 990,789,642.21
  5. Step 5: Solve for x
    x = 990,789,642.21/33,156.95
  6. Step 6: Final answer
    x = 29,881.81

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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.