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Finding the Fourth Proportional to 200,816.34, 301,137 and 67,671.78

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Solution

The fourth proportional to 200,816.34, 301,137 and 67,671.78 is: 101,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,816.34 : 301,137 = 67,671.78 : x
  2. Step 2: Convert to fraction form
    200,816.34/301,137 = 67,671.78/x
  3. Step 3: Cross multiply
    200,816.34x = 301,137 × 67,671.78
  4. Step 4: Simplify right side
    200,816.34x = 20,378,476,813.86
  5. Step 5: Solve for x
    x = 20,378,476,813.86/200,816.34
  6. Step 6: Final answer
    x = 101,478.18

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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.