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Finding the Fourth Proportional to 78,112, 117,187.98 and 22,708

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Solution

The fourth proportional to 78,112, 117,187.98 and 22,708 is: 34,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112 : 117,187.98 = 22,708 : x
  2. Step 2: Convert to fraction form
    78,112/117,187.98 = 22,708/x
  3. Step 3: Cross multiply
    78,112x = 117,187.98 × 22,708
  4. Step 4: Simplify right side
    78,112x = 2,661,104,649.84
  5. Step 5: Solve for x
    x = 2,661,104,649.84/78,112
  6. Step 6: Final answer
    x = 34,067.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.