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Finding the Fourth Proportional to 200,920.80, 301,171.60 and 67,755.28

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Solution

The fourth proportional to 200,920.80, 301,171.60 and 67,755.28 is: 101,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.80 : 301,171.60 = 67,755.28 : x
  2. Step 2: Convert to fraction form
    200,920.80/301,171.60 = 67,755.28/x
  3. Step 3: Cross multiply
    200,920.80x = 301,171.60 × 67,755.28
  4. Step 4: Simplify right side
    200,920.80x = 20,405,966,086.05
  5. Step 5: Solve for x
    x = 20,405,966,086.05/200,920.80
  6. Step 6: Final answer
    x = 101,562.24

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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.