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Finding the Fourth Proportional to 81,676.51, 122,514.41 and 31,791.39

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Solution

The fourth proportional to 81,676.51, 122,514.41 and 31,791.39 is: 47,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,676.51 : 122,514.41 = 31,791.39 : x
  2. Step 2: Convert to fraction form
    81,676.51/122,514.41 = 31,791.39/x
  3. Step 3: Cross multiply
    81,676.51x = 122,514.41 × 31,791.39
  4. Step 4: Simplify right side
    81,676.51x = 3,894,903,468.41
  5. Step 5: Solve for x
    x = 3,894,903,468.41/81,676.51
  6. Step 6: Final answer
    x = 47,686.95

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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.