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Finding the Fourth Proportional to 200,742.21, 300,793.77 and 105,968.97

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Solution

The fourth proportional to 200,742.21, 300,793.77 and 105,968.97 is: 158,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.21 : 300,793.77 = 105,968.97 : x
  2. Step 2: Convert to fraction form
    200,742.21/300,793.77 = 105,968.97/x
  3. Step 3: Cross multiply
    200,742.21x = 300,793.77 × 105,968.97
  4. Step 4: Simplify right side
    200,742.21x = 31,874,805,989.32
  5. Step 5: Solve for x
    x = 31,874,805,989.32/200,742.21
  6. Step 6: Final answer
    x = 158,784.77

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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.