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Finding the Fourth Proportional to 189,168.46, 261,054.49 and 104,288.56

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Solution

The fourth proportional to 189,168.46, 261,054.49 and 104,288.56 is: 143,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,168.46 : 261,054.49 = 104,288.56 : x
  2. Step 2: Convert to fraction form
    189,168.46/261,054.49 = 104,288.56/x
  3. Step 3: Cross multiply
    189,168.46x = 261,054.49 × 104,288.56
  4. Step 4: Simplify right side
    189,168.46x = 27,224,996,843.63
  5. Step 5: Solve for x
    x = 27,224,996,843.63/189,168.46
  6. Step 6: Final answer
    x = 143,919.32

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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.