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Finding the Fourth Proportional to 193,030.50, 289,662.40 and 82,222.50

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Solution

The fourth proportional to 193,030.50, 289,662.40 and 82,222.50 is: 123,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,030.50 : 289,662.40 = 82,222.50 : x
  2. Step 2: Convert to fraction form
    193,030.50/289,662.40 = 82,222.50/x
  3. Step 3: Cross multiply
    193,030.50x = 289,662.40 × 82,222.50
  4. Step 4: Simplify right side
    193,030.50x = 23,816,766,684.00
  5. Step 5: Solve for x
    x = 23,816,766,684.00/193,030.50
  6. Step 6: Final answer
    x = 123,383.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.