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Finding the Fourth Proportional to 193,811.02, 290,420.50 and 81,429.80

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Solution

The fourth proportional to 193,811.02, 290,420.50 and 81,429.80 is: 122,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,811.02 : 290,420.50 = 81,429.80 : x
  2. Step 2: Convert to fraction form
    193,811.02/290,420.50 = 81,429.80/x
  3. Step 3: Cross multiply
    193,811.02x = 290,420.50 × 81,429.80
  4. Step 4: Simplify right side
    193,811.02x = 23,648,883,230.90
  5. Step 5: Solve for x
    x = 23,648,883,230.90/193,811.02
  6. Step 6: Final answer
    x = 122,020.32

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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.