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Finding the Fourth Proportional to 190,697.52, 285,991.74 and 76,845

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Solution

The fourth proportional to 190,697.52, 285,991.74 and 76,845 is: 115,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,697.52 : 285,991.74 = 76,845 : x
  2. Step 2: Convert to fraction form
    190,697.52/285,991.74 = 76,845/x
  3. Step 3: Cross multiply
    190,697.52x = 285,991.74 × 76,845
  4. Step 4: Simplify right side
    190,697.52x = 21,977,035,260.30
  5. Step 5: Solve for x
    x = 21,977,035,260.30/190,697.52
  6. Step 6: Final answer
    x = 115,245.52

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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.