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Finding the Fourth Proportional to 214,997.78, 322,497.38 and 65,239.31

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Solution

The fourth proportional to 214,997.78, 322,497.38 and 65,239.31 is: 97,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,997.78 : 322,497.38 = 65,239.31 : x
  2. Step 2: Convert to fraction form
    214,997.78/322,497.38 = 65,239.31/x
  3. Step 3: Cross multiply
    214,997.78x = 322,497.38 × 65,239.31
  4. Step 4: Simplify right side
    214,997.78x = 21,039,507,517.35
  5. Step 5: Solve for x
    x = 21,039,507,517.35/214,997.78
  6. Step 6: Final answer
    x = 97,859.18

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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.