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Finding the Fourth Proportional to 193,807.02, 290,414.50 and 81,425.80

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Solution

The fourth proportional to 193,807.02, 290,414.50 and 81,425.80 is: 122,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807.02 : 290,414.50 = 81,425.80 : x
  2. Step 2: Convert to fraction form
    193,807.02/290,414.50 = 81,425.80/x
  3. Step 3: Cross multiply
    193,807.02x = 290,414.50 × 81,425.80
  4. Step 4: Simplify right side
    193,807.02x = 23,647,232,994.10
  5. Step 5: Solve for x
    x = 23,647,232,994.10/193,807.02
  6. Step 6: Final answer
    x = 122,014.33

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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.