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Finding the Fourth Proportional to 208,978.20, 313,467.30 and 68,718.60

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Solution

The fourth proportional to 208,978.20, 313,467.30 and 68,718.60 is: 103,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.20 : 313,467.30 = 68,718.60 : x
  2. Step 2: Convert to fraction form
    208,978.20/313,467.30 = 68,718.60/x
  3. Step 3: Cross multiply
    208,978.20x = 313,467.30 × 68,718.60
  4. Step 4: Simplify right side
    208,978.20x = 21,541,034,001.78
  5. Step 5: Solve for x
    x = 21,541,034,001.78/208,978.20
  6. Step 6: Final answer
    x = 103,077.90

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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.