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Finding the Fourth Proportional to 42,843.44, 64,263.26 and 11,678.70

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Solution

The fourth proportional to 42,843.44, 64,263.26 and 11,678.70 is: 17,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,843.44 : 64,263.26 = 11,678.70 : x
  2. Step 2: Convert to fraction form
    42,843.44/64,263.26 = 11,678.70/x
  3. Step 3: Cross multiply
    42,843.44x = 64,263.26 × 11,678.70
  4. Step 4: Simplify right side
    42,843.44x = 750,511,334.56
  5. Step 5: Solve for x
    x = 750,511,334.56/42,843.44
  6. Step 6: Final answer
    x = 17,517.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.