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Finding the Fourth Proportional to 197,994.98, 297,022.11 and 71,664.79

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Solution

The fourth proportional to 197,994.98, 297,022.11 and 71,664.79 is: 107,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,994.98 : 297,022.11 = 71,664.79 : x
  2. Step 2: Convert to fraction form
    197,994.98/297,022.11 = 71,664.79/x
  3. Step 3: Cross multiply
    197,994.98x = 297,022.11 × 71,664.79
  4. Step 4: Simplify right side
    197,994.98x = 21,286,027,138.51
  5. Step 5: Solve for x
    x = 21,286,027,138.51/197,994.98
  6. Step 6: Final answer
    x = 107,507.91

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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.