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Finding the Fourth Proportional to 33,140.80, 49,711.20 and 22,643.20

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Solution

The fourth proportional to 33,140.80, 49,711.20 and 22,643.20 is: 33,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140.80 : 49,711.20 = 22,643.20 : x
  2. Step 2: Convert to fraction form
    33,140.80/49,711.20 = 22,643.20/x
  3. Step 3: Cross multiply
    33,140.80x = 49,711.20 × 22,643.20
  4. Step 4: Simplify right side
    33,140.80x = 1,125,620,643.84
  5. Step 5: Solve for x
    x = 1,125,620,643.84/33,140.80
  6. Step 6: Final answer
    x = 33,964.80

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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.