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Finding the Fourth Proportional to 208,998.28, 313,509.24 and 66,856

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Solution

The fourth proportional to 208,998.28, 313,509.24 and 66,856 is: 100,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,998.28 : 313,509.24 = 66,856 : x
  2. Step 2: Convert to fraction form
    208,998.28/313,509.24 = 66,856/x
  3. Step 3: Cross multiply
    208,998.28x = 313,509.24 × 66,856
  4. Step 4: Simplify right side
    208,998.28x = 20,959,973,749.44
  5. Step 5: Solve for x
    x = 20,959,973,749.44/208,998.28
  6. Step 6: Final answer
    x = 100,287.78

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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.