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Finding the Fourth Proportional to 216,120.95, 324,223.44 and 82,991.42

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Solution

The fourth proportional to 216,120.95, 324,223.44 and 82,991.42 is: 124,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,120.95 : 324,223.44 = 82,991.42 : x
  2. Step 2: Convert to fraction form
    216,120.95/324,223.44 = 82,991.42/x
  3. Step 3: Cross multiply
    216,120.95x = 324,223.44 × 82,991.42
  4. Step 4: Simplify right side
    216,120.95x = 26,907,763,682.88
  5. Step 5: Solve for x
    x = 26,907,763,682.88/216,120.95
  6. Step 6: Final answer
    x = 124,503.26

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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.