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Finding the Fourth Proportional to 214,553.61, 321,846.21 and 56,781

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Solution

The fourth proportional to 214,553.61, 321,846.21 and 56,781 is: 85,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,553.61 : 321,846.21 = 56,781 : x
  2. Step 2: Convert to fraction form
    214,553.61/321,846.21 = 56,781/x
  3. Step 3: Cross multiply
    214,553.61x = 321,846.21 × 56,781
  4. Step 4: Simplify right side
    214,553.61x = 18,274,749,650.01
  5. Step 5: Solve for x
    x = 18,274,749,650.01/214,553.61
  6. Step 6: Final answer
    x = 85,175.68

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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.