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Finding the Fourth Proportional to 190,404.94, 285,738.63 and 65,745.94

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Solution

The fourth proportional to 190,404.94, 285,738.63 and 65,745.94 is: 98,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,404.94 : 285,738.63 = 65,745.94 : x
  2. Step 2: Convert to fraction form
    190,404.94/285,738.63 = 65,745.94/x
  3. Step 3: Cross multiply
    190,404.94x = 285,738.63 × 65,745.94
  4. Step 4: Simplify right side
    190,404.94x = 18,786,154,823.66
  5. Step 5: Solve for x
    x = 18,786,154,823.66/190,404.94
  6. Step 6: Final answer
    x = 98,664.22

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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.