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Finding the Fourth Proportional to 200,443.37, 300,664.78 and 82,114.91

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Solution

The fourth proportional to 200,443.37, 300,664.78 and 82,114.91 is: 123,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,443.37 : 300,664.78 = 82,114.91 : x
  2. Step 2: Convert to fraction form
    200,443.37/300,664.78 = 82,114.91/x
  3. Step 3: Cross multiply
    200,443.37x = 300,664.78 × 82,114.91
  4. Step 4: Simplify right side
    200,443.37x = 24,689,061,349.87
  5. Step 5: Solve for x
    x = 24,689,061,349.87/200,443.37
  6. Step 6: Final answer
    x = 123,172.25

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1.5x scale

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.