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Finding the Fourth Proportional to 199,965.70, 275,709.18 and 188,374.60

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Solution

The fourth proportional to 199,965.70, 275,709.18 and 188,374.60 is: 259,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,965.70 : 275,709.18 = 188,374.60 : x
  2. Step 2: Convert to fraction form
    199,965.70/275,709.18 = 188,374.60/x
  3. Step 3: Cross multiply
    199,965.70x = 275,709.18 × 188,374.60
  4. Step 4: Simplify right side
    199,965.70x = 51,936,606,498.83
  5. Step 5: Solve for x
    x = 51,936,606,498.83/199,965.70
  6. Step 6: Final answer
    x = 259,727.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.