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Finding the Fourth Proportional to 216,538.62, 324,902.87 and 102,768.60

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Solution

The fourth proportional to 216,538.62, 324,902.87 and 102,768.60 is: 154,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,538.62 : 324,902.87 = 102,768.60 : x
  2. Step 2: Convert to fraction form
    216,538.62/324,902.87 = 102,768.60/x
  3. Step 3: Cross multiply
    216,538.62x = 324,902.87 × 102,768.60
  4. Step 4: Simplify right side
    216,538.62x = 33,389,813,085.88
  5. Step 5: Solve for x
    x = 33,389,813,085.88/216,538.62
  6. Step 6: Final answer
    x = 154,197.96

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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.