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Finding the Fourth Proportional to 82,142.30, 113,361.66 and 46,331.54

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Solution

The fourth proportional to 82,142.30, 113,361.66 and 46,331.54 is: 63,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.30 : 113,361.66 = 46,331.54 : x
  2. Step 2: Convert to fraction form
    82,142.30/113,361.66 = 46,331.54/x
  3. Step 3: Cross multiply
    82,142.30x = 113,361.66 × 46,331.54
  4. Step 4: Simplify right side
    82,142.30x = 5,252,220,284.76
  5. Step 5: Solve for x
    x = 5,252,220,284.76/82,142.30
  6. Step 6: Final answer
    x = 63,940.51

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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.