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Finding the Fourth Proportional to 206,879.69, 310,099.01 and 117,941.69

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Solution

The fourth proportional to 206,879.69, 310,099.01 and 117,941.69 is: 176,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,879.69 : 310,099.01 = 117,941.69 : x
  2. Step 2: Convert to fraction form
    206,879.69/310,099.01 = 117,941.69/x
  3. Step 3: Cross multiply
    206,879.69x = 310,099.01 × 117,941.69
  4. Step 4: Simplify right side
    206,879.69x = 36,573,599,166.52
  5. Step 5: Solve for x
    x = 36,573,599,166.52/206,879.69
  6. Step 6: Final answer
    x = 176,786.81

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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.