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Finding the Fourth Proportional to 214,967.45, 322,454.39 and 81,855.09

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Solution

The fourth proportional to 214,967.45, 322,454.39 and 81,855.09 is: 122,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.45 : 322,454.39 = 81,855.09 : x
  2. Step 2: Convert to fraction form
    214,967.45/322,454.39 = 81,855.09/x
  3. Step 3: Cross multiply
    214,967.45x = 322,454.39 × 81,855.09
  4. Step 4: Simplify right side
    214,967.45x = 26,394,532,705.07
  5. Step 5: Solve for x
    x = 26,394,532,705.07/214,967.45
  6. Step 6: Final answer
    x = 122,783.86

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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.