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Finding the Fourth Proportional to 66,896.47, 100,361.42 and 47,213.47

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Solution

The fourth proportional to 66,896.47, 100,361.42 and 47,213.47 is: 70,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,896.47 : 100,361.42 = 47,213.47 : x
  2. Step 2: Convert to fraction form
    66,896.47/100,361.42 = 47,213.47/x
  3. Step 3: Cross multiply
    66,896.47x = 100,361.42 × 47,213.47
  4. Step 4: Simplify right side
    66,896.47x = 4,738,410,390.52
  5. Step 5: Solve for x
    x = 4,738,410,390.52/66,896.47
  6. Step 6: Final answer
    x = 70,832.00

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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.