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Finding the Fourth Proportional to 82,172.36, 113,396.01 and 46,361.45

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Solution

The fourth proportional to 82,172.36, 113,396.01 and 46,361.45 is: 63,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172.36 : 113,396.01 = 46,361.45 : x
  2. Step 2: Convert to fraction form
    82,172.36/113,396.01 = 46,361.45/x
  3. Step 3: Cross multiply
    82,172.36x = 113,396.01 × 46,361.45
  4. Step 4: Simplify right side
    82,172.36x = 5,257,203,447.81
  5. Step 5: Solve for x
    x = 5,257,203,447.81/82,172.36
  6. Step 6: Final answer
    x = 63,977.76

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