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Finding the Fourth Proportional to 190,491.73, 285,717.54 and 78,183.81

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Solution

The fourth proportional to 190,491.73, 285,717.54 and 78,183.81 is: 117,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,491.73 : 285,717.54 = 78,183.81 : x
  2. Step 2: Convert to fraction form
    190,491.73/285,717.54 = 78,183.81/x
  3. Step 3: Cross multiply
    190,491.73x = 285,717.54 × 78,183.81
  4. Step 4: Simplify right side
    190,491.73x = 22,338,485,861.03
  5. Step 5: Solve for x
    x = 22,338,485,861.03/190,491.73
  6. Step 6: Final answer
    x = 117,267.48

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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.