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Finding the Fourth Proportional to 78,671.64, 117,981.94 and 26,067

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Solution

The fourth proportional to 78,671.64, 117,981.94 and 26,067 is: 39,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671.64 : 117,981.94 = 26,067 : x
  2. Step 2: Convert to fraction form
    78,671.64/117,981.94 = 26,067/x
  3. Step 3: Cross multiply
    78,671.64x = 117,981.94 × 26,067
  4. Step 4: Simplify right side
    78,671.64x = 3,075,435,229.98
  5. Step 5: Solve for x
    x = 3,075,435,229.98/78,671.64
  6. Step 6: Final answer
    x = 39,092.04

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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.