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Finding the Fourth Proportional to 217,698.44, 300,396.62 and 120,889.10

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Solution

The fourth proportional to 217,698.44, 300,396.62 and 120,889.10 is: 166,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,698.44 : 300,396.62 = 120,889.10 : x
  2. Step 2: Convert to fraction form
    217,698.44/300,396.62 = 120,889.10/x
  3. Step 3: Cross multiply
    217,698.44x = 300,396.62 × 120,889.10
  4. Step 4: Simplify right side
    217,698.44x = 36,314,677,034.84
  5. Step 5: Solve for x
    x = 36,314,677,034.84/217,698.44
  6. Step 6: Final answer
    x = 166,811.84

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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.