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Finding the Fourth Proportional to 206,226.71, 308,941.04 and 115,995.30

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Solution

The fourth proportional to 206,226.71, 308,941.04 and 115,995.30 is: 173,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,226.71 : 308,941.04 = 115,995.30 : x
  2. Step 2: Convert to fraction form
    206,226.71/308,941.04 = 115,995.30/x
  3. Step 3: Cross multiply
    206,226.71x = 308,941.04 × 115,995.30
  4. Step 4: Simplify right side
    206,226.71x = 35,835,707,072.41
  5. Step 5: Solve for x
    x = 35,835,707,072.41/206,226.71
  6. Step 6: Final answer
    x = 173,768.51

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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.