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Finding the Fourth Proportional to 206,657.94, 309,698.20 and 111,683.37

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Solution

The fourth proportional to 206,657.94, 309,698.20 and 111,683.37 is: 167,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.94 : 309,698.20 = 111,683.37 : x
  2. Step 2: Convert to fraction form
    206,657.94/309,698.20 = 111,683.37/x
  3. Step 3: Cross multiply
    206,657.94x = 309,698.20 × 111,683.37
  4. Step 4: Simplify right side
    206,657.94x = 34,588,139,959.91
  5. Step 5: Solve for x
    x = 34,588,139,959.91/206,657.94
  6. Step 6: Final answer
    x = 167,369.03

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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.