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Finding the Fourth Proportional to 190,469.14, 285,759.54 and 85,264.72

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Solution

The fourth proportional to 190,469.14, 285,759.54 and 85,264.72 is: 127,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,469.14 : 285,759.54 = 85,264.72 : x
  2. Step 2: Convert to fraction form
    190,469.14/285,759.54 = 85,264.72/x
  3. Step 3: Cross multiply
    190,469.14x = 285,759.54 × 85,264.72
  4. Step 4: Simplify right side
    190,469.14x = 24,365,207,165.43
  5. Step 5: Solve for x
    x = 24,365,207,165.43/190,469.14
  6. Step 6: Final answer
    x = 127,922.07

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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.