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Finding the Fourth Proportional to 133,681.20, 200,521.80 and 82,942.80

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Solution

The fourth proportional to 133,681.20, 200,521.80 and 82,942.80 is: 124,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681.20 : 200,521.80 = 82,942.80 : x
  2. Step 2: Convert to fraction form
    133,681.20/200,521.80 = 82,942.80/x
  3. Step 3: Cross multiply
    133,681.20x = 200,521.80 × 82,942.80
  4. Step 4: Simplify right side
    133,681.20x = 16,631,839,553.04
  5. Step 5: Solve for x
    x = 16,631,839,553.04/133,681.20
  6. Step 6: Final answer
    x = 124,414.20

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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.