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Finding the Fourth Proportional to 214,887.78, 322,331.64 and 67,143.78

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Solution

The fourth proportional to 214,887.78, 322,331.64 and 67,143.78 is: 100,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,887.78 : 322,331.64 = 67,143.78 : x
  2. Step 2: Convert to fraction form
    214,887.78/322,331.64 = 67,143.78/x
  3. Step 3: Cross multiply
    214,887.78x = 322,331.64 × 67,143.78
  4. Step 4: Simplify right side
    214,887.78x = 21,642,564,723.20
  5. Step 5: Solve for x
    x = 21,642,564,723.20/214,887.78
  6. Step 6: Final answer
    x = 100,715.66

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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.