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Finding the Fourth Proportional to 220,923.36, 304,874.22 and 120,321.36

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Solution

The fourth proportional to 220,923.36, 304,874.22 and 120,321.36 is: 166,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,923.36 : 304,874.22 = 120,321.36 : x
  2. Step 2: Convert to fraction form
    220,923.36/304,874.22 = 120,321.36/x
  3. Step 3: Cross multiply
    220,923.36x = 304,874.22 × 120,321.36
  4. Step 4: Simplify right side
    220,923.36x = 36,682,880,779.34
  5. Step 5: Solve for x
    x = 36,682,880,779.34/220,923.36
  6. Step 6: Final answer
    x = 166,043.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.