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Finding the Fourth Proportional to 216,150, 324,226.44 and 68,406

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Solution

The fourth proportional to 216,150, 324,226.44 and 68,406 is: 102,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,150 : 324,226.44 = 68,406 : x
  2. Step 2: Convert to fraction form
    216,150/324,226.44 = 68,406/x
  3. Step 3: Cross multiply
    216,150x = 324,226.44 × 68,406
  4. Step 4: Simplify right side
    216,150x = 22,179,033,854.64
  5. Step 5: Solve for x
    x = 22,179,033,854.64/216,150
  6. Step 6: Final answer
    x = 102,609.46

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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.