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Finding the Fourth Proportional to 78,671.89, 117,982.32 and 26,067.25

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Solution

The fourth proportional to 78,671.89, 117,982.32 and 26,067.25 is: 39,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671.89 : 117,982.32 = 26,067.25 : x
  2. Step 2: Convert to fraction form
    78,671.89/117,982.32 = 26,067.25/x
  3. Step 3: Cross multiply
    78,671.89x = 117,982.32 × 26,067.25
  4. Step 4: Simplify right side
    78,671.89x = 3,075,474,500.68
  5. Step 5: Solve for x
    x = 3,075,474,500.68/78,671.89
  6. Step 6: Final answer
    x = 39,092.42

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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.