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Finding the Fourth Proportional to 216,121.20, 324,034.20 and 97,728

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Solution

The fourth proportional to 216,121.20, 324,034.20 and 97,728 is: 146,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,121.20 : 324,034.20 = 97,728 : x
  2. Step 2: Convert to fraction form
    216,121.20/324,034.20 = 97,728/x
  3. Step 3: Cross multiply
    216,121.20x = 324,034.20 × 97,728
  4. Step 4: Simplify right side
    216,121.20x = 31,667,214,297.60
  5. Step 5: Solve for x
    x = 31,667,214,297.60/216,121.20
  6. Step 6: Final answer
    x = 146,525.26

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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.