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Finding the Fourth Proportional to 217,984.20, 300,825.81 and 122,488.98

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Solution

The fourth proportional to 217,984.20, 300,825.81 and 122,488.98 is: 169,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,984.20 : 300,825.81 = 122,488.98 : x
  2. Step 2: Convert to fraction form
    217,984.20/300,825.81 = 122,488.98/x
  3. Step 3: Cross multiply
    217,984.20x = 300,825.81 × 122,488.98
  4. Step 4: Simplify right side
    217,984.20x = 36,847,846,624.57
  5. Step 5: Solve for x
    x = 36,847,846,624.57/217,984.20
  6. Step 6: Final answer
    x = 169,039.07

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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.