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Finding the Fourth Proportional to 214,620.84, 321,979.86 and 114,728.40

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Solution

The fourth proportional to 214,620.84, 321,979.86 and 114,728.40 is: 172,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620.84 : 321,979.86 = 114,728.40 : x
  2. Step 2: Convert to fraction form
    214,620.84/321,979.86 = 114,728.40/x
  3. Step 3: Cross multiply
    214,620.84x = 321,979.86 × 114,728.40
  4. Step 4: Simplify right side
    214,620.84x = 36,940,234,170.02
  5. Step 5: Solve for x
    x = 36,940,234,170.02/214,620.84
  6. Step 6: Final answer
    x = 172,118.58

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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.