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Finding the Fourth Proportional to 78,067.81, 117,104.96 and 22,663.81

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Solution

The fourth proportional to 78,067.81, 117,104.96 and 22,663.81 is: 33,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.81 : 117,104.96 = 22,663.81 : x
  2. Step 2: Convert to fraction form
    78,067.81/117,104.96 = 22,663.81/x
  3. Step 3: Cross multiply
    78,067.81x = 117,104.96 × 22,663.81
  4. Step 4: Simplify right side
    78,067.81x = 2,654,044,450.18
  5. Step 5: Solve for x
    x = 2,654,044,450.18/78,067.81
  6. Step 6: Final answer
    x = 33,996.66

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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.