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Finding the Fourth Proportional to 206,169.81, 308,479.83 and 121,969.71

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Solution

The fourth proportional to 206,169.81, 308,479.83 and 121,969.71 is: 182,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,169.81 : 308,479.83 = 121,969.71 : x
  2. Step 2: Convert to fraction form
    206,169.81/308,479.83 = 121,969.71/x
  3. Step 3: Cross multiply
    206,169.81x = 308,479.83 × 121,969.71
  4. Step 4: Simplify right side
    206,169.81x = 37,625,195,405.95
  5. Step 5: Solve for x
    x = 37,625,195,405.95/206,169.81
  6. Step 6: Final answer
    x = 182,496.14

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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.