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Finding the Fourth Proportional to 189,251.84, 261,208.07 and 108,723.77

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Solution

The fourth proportional to 189,251.84, 261,208.07 and 108,723.77 is: 150,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,251.84 : 261,208.07 = 108,723.77 : x
  2. Step 2: Convert to fraction form
    189,251.84/261,208.07 = 108,723.77/x
  3. Step 3: Cross multiply
    189,251.84x = 261,208.07 × 108,723.77
  4. Step 4: Simplify right side
    189,251.84x = 28,399,526,273.98
  5. Step 5: Solve for x
    x = 28,399,526,273.98/189,251.84
  6. Step 6: Final answer
    x = 150,062.09

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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.