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Finding the Fourth Proportional to 33,139.80, 49,709.70 and 20,698.20

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Solution

The fourth proportional to 33,139.80, 49,709.70 and 20,698.20 is: 31,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139.80 : 49,709.70 = 20,698.20 : x
  2. Step 2: Convert to fraction form
    33,139.80/49,709.70 = 20,698.20/x
  3. Step 3: Cross multiply
    33,139.80x = 49,709.70 × 20,698.20
  4. Step 4: Simplify right side
    33,139.80x = 1,028,901,312.54
  5. Step 5: Solve for x
    x = 1,028,901,312.54/33,139.80
  6. Step 6: Final answer
    x = 31,047.30

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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.