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Finding the Fourth Proportional to 190,106.31, 285,222.66 and 63,759

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Solution

The fourth proportional to 190,106.31, 285,222.66 and 63,759 is: 95,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,106.31 : 285,222.66 = 63,759 : x
  2. Step 2: Convert to fraction form
    190,106.31/285,222.66 = 63,759/x
  3. Step 3: Cross multiply
    190,106.31x = 285,222.66 × 63,759
  4. Step 4: Simplify right side
    190,106.31x = 18,185,511,578.94
  5. Step 5: Solve for x
    x = 18,185,511,578.94/190,106.31
  6. Step 6: Final answer
    x = 95,659.69

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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.