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Finding the Fourth Proportional to 211,978.22, 318,029.19 and 85,553.91

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Solution

The fourth proportional to 211,978.22, 318,029.19 and 85,553.91 is: 128,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.22 : 318,029.19 = 85,553.91 : x
  2. Step 2: Convert to fraction form
    211,978.22/318,029.19 = 85,553.91/x
  3. Step 3: Cross multiply
    211,978.22x = 318,029.19 × 85,553.91
  4. Step 4: Simplify right side
    211,978.22x = 27,208,640,698.63
  5. Step 5: Solve for x
    x = 27,208,640,698.63/211,978.22
  6. Step 6: Final answer
    x = 128,355.83

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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.