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Finding the Fourth Proportional to 193,808.02, 290,416 and 81,426.80

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Solution

The fourth proportional to 193,808.02, 290,416 and 81,426.80 is: 122,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,808.02 : 290,416 = 81,426.80 : x
  2. Step 2: Convert to fraction form
    193,808.02/290,416 = 81,426.80/x
  3. Step 3: Cross multiply
    193,808.02x = 290,416 × 81,426.80
  4. Step 4: Simplify right side
    193,808.02x = 23,647,645,548.80
  5. Step 5: Solve for x
    x = 23,647,645,548.80/193,808.02
  6. Step 6: Final answer
    x = 122,015.83

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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.