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Finding the Fourth Proportional to 205,563.41, 308,204.81 and 109,515

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Solution

The fourth proportional to 205,563.41, 308,204.81 and 109,515 is: 164,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,563.41 : 308,204.81 = 109,515 : x
  2. Step 2: Convert to fraction form
    205,563.41/308,204.81 = 109,515/x
  3. Step 3: Cross multiply
    205,563.41x = 308,204.81 × 109,515
  4. Step 4: Simplify right side
    205,563.41x = 33,753,049,219.58
  5. Step 5: Solve for x
    x = 33,753,049,219.58/205,563.41
  6. Step 6: Final answer
    x = 164,197.75

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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.