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Finding the Fourth Proportional to 214,882.79, 322,464.04 and 81,764.15

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Solution

The fourth proportional to 214,882.79, 322,464.04 and 81,764.15 is: 122,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,882.79 : 322,464.04 = 81,764.15 : x
  2. Step 2: Convert to fraction form
    214,882.79/322,464.04 = 81,764.15/x
  3. Step 3: Cross multiply
    214,882.79x = 322,464.04 × 81,764.15
  4. Step 4: Simplify right side
    214,882.79x = 26,365,996,319.44
  5. Step 5: Solve for x
    x = 26,365,996,319.44/214,882.79
  6. Step 6: Final answer
    x = 122,699.44

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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.