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Finding the Fourth Proportional to 200,503.94, 300,755.92 and 67,384.21

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Solution

The fourth proportional to 200,503.94, 300,755.92 and 67,384.21 is: 101,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,503.94 : 300,755.92 = 67,384.21 : x
  2. Step 2: Convert to fraction form
    200,503.94/300,755.92 = 67,384.21/x
  3. Step 3: Cross multiply
    200,503.94x = 300,755.92 × 67,384.21
  4. Step 4: Simplify right side
    200,503.94x = 20,266,198,714.10
  5. Step 5: Solve for x
    x = 20,266,198,714.10/200,503.94
  6. Step 6: Final answer
    x = 101,076.31

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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.