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Finding the Fourth Proportional to 199,966.70, 275,710.56 and 188,375.60

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Solution

The fourth proportional to 199,966.70, 275,710.56 and 188,375.60 is: 259,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,966.70 : 275,710.56 = 188,375.60 : x
  2. Step 2: Convert to fraction form
    199,966.70/275,710.56 = 188,375.60/x
  3. Step 3: Cross multiply
    199,966.70x = 275,710.56 × 188,375.60
  4. Step 4: Simplify right side
    199,966.70x = 51,937,142,166.34
  5. Step 5: Solve for x
    x = 51,937,142,166.34/199,966.70
  6. Step 6: Final answer
    x = 259,728.96

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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.