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Finding the Fourth Proportional to 189,075.78, 260,930.10 and 104,198.28

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Solution

The fourth proportional to 189,075.78, 260,930.10 and 104,198.28 is: 143,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.78 : 260,930.10 = 104,198.28 : x
  2. Step 2: Convert to fraction form
    189,075.78/260,930.10 = 104,198.28/x
  3. Step 3: Cross multiply
    189,075.78x = 260,930.10 × 104,198.28
  4. Step 4: Simplify right side
    189,075.78x = 27,188,467,620.23
  5. Step 5: Solve for x
    x = 27,188,467,620.23/189,075.78
  6. Step 6: Final answer
    x = 143,796.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.