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Finding the Fourth Proportional to 77,992.82, 117,003.80 and 31,249.34

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Solution

The fourth proportional to 77,992.82, 117,003.80 and 31,249.34 is: 46,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,992.82 : 117,003.80 = 31,249.34 : x
  2. Step 2: Convert to fraction form
    77,992.82/117,003.80 = 31,249.34/x
  3. Step 3: Cross multiply
    77,992.82x = 117,003.80 × 31,249.34
  4. Step 4: Simplify right side
    77,992.82x = 3,656,291,020.60
  5. Step 5: Solve for x
    x = 3,656,291,020.60/77,992.82
  6. Step 6: Final answer
    x = 46,879.84

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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.