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Finding the Fourth Proportional to 33,570.45, 46,323.09 and 20,139.84

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Solution

The fourth proportional to 33,570.45, 46,323.09 and 20,139.84 is: 27,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570.45 : 46,323.09 = 20,139.84 : x
  2. Step 2: Convert to fraction form
    33,570.45/46,323.09 = 20,139.84/x
  3. Step 3: Cross multiply
    33,570.45x = 46,323.09 × 20,139.84
  4. Step 4: Simplify right side
    33,570.45x = 932,939,620.91
  5. Step 5: Solve for x
    x = 932,939,620.91/33,570.45
  6. Step 6: Final answer
    x = 27,790.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.