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Finding the Fourth Proportional to 66,896, 100,350.72 and 17,648

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Solution

The fourth proportional to 66,896, 100,350.72 and 17,648 is: 26,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,896 : 100,350.72 = 17,648 : x
  2. Step 2: Convert to fraction form
    66,896/100,350.72 = 17,648/x
  3. Step 3: Cross multiply
    66,896x = 100,350.72 × 17,648
  4. Step 4: Simplify right side
    66,896x = 1,770,989,506.56
  5. Step 5: Solve for x
    x = 1,770,989,506.56/66,896
  6. Step 6: Final answer
    x = 26,473.77

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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.