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Finding the Fourth Proportional to 208,714.32, 313,116.84 and 68,467.68

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Solution

The fourth proportional to 208,714.32, 313,116.84 and 68,467.68 is: 102,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,714.32 : 313,116.84 = 68,467.68 : x
  2. Step 2: Convert to fraction form
    208,714.32/313,116.84 = 68,467.68/x
  3. Step 3: Cross multiply
    208,714.32x = 313,116.84 × 68,467.68
  4. Step 4: Simplify right side
    208,714.32x = 21,438,383,603.73
  5. Step 5: Solve for x
    x = 21,438,383,603.73/208,714.32
  6. Step 6: Final answer
    x = 102,716.40

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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.