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Finding the Fourth Proportional to 200,682, 301,169.61 and 161,709.66

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Solution

The fourth proportional to 200,682, 301,169.61 and 161,709.66 is: 242,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682 : 301,169.61 = 161,709.66 : x
  2. Step 2: Convert to fraction form
    200,682/301,169.61 = 161,709.66/x
  3. Step 3: Cross multiply
    200,682x = 301,169.61 × 161,709.66
  4. Step 4: Simplify right side
    200,682x = 48,702,035,235.43
  5. Step 5: Solve for x
    x = 48,702,035,235.43/200,682
  6. Step 6: Final answer
    x = 242,682.63

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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.