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Finding the Fourth Proportional to 77,994.78, 117,005.10 and 27,380.68

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Solution

The fourth proportional to 77,994.78, 117,005.10 and 27,380.68 is: 41,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,994.78 : 117,005.10 = 27,380.68 : x
  2. Step 2: Convert to fraction form
    77,994.78/117,005.10 = 27,380.68/x
  3. Step 3: Cross multiply
    77,994.78x = 117,005.10 × 27,380.68
  4. Step 4: Simplify right side
    77,994.78x = 3,203,679,201.47
  5. Step 5: Solve for x
    x = 3,203,679,201.47/77,994.78
  6. Step 6: Final answer
    x = 41,075.56

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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.