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Finding the Fourth Proportional to 190,879.75, 286,319.30 and 48,725

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Solution

The fourth proportional to 190,879.75, 286,319.30 and 48,725 is: 73,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,879.75 : 286,319.30 = 48,725 : x
  2. Step 2: Convert to fraction form
    190,879.75/286,319.30 = 48,725/x
  3. Step 3: Cross multiply
    190,879.75x = 286,319.30 × 48,725
  4. Step 4: Simplify right side
    190,879.75x = 13,950,907,648.88
  5. Step 5: Solve for x
    x = 13,950,907,648.88/190,879.75
  6. Step 6: Final answer
    x = 73,087.42

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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.