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Finding the Fourth Proportional to 116,684.21, 161,027.46 and 71,361.38

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Solution

The fourth proportional to 116,684.21, 161,027.46 and 71,361.38 is: 98,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,684.21 : 161,027.46 = 71,361.38 : x
  2. Step 2: Convert to fraction form
    116,684.21/161,027.46 = 71,361.38/x
  3. Step 3: Cross multiply
    116,684.21x = 161,027.46 × 71,361.38
  4. Step 4: Simplify right side
    116,684.21x = 11,491,141,763.49
  5. Step 5: Solve for x
    x = 11,491,141,763.49/116,684.21
  6. Step 6: Final answer
    x = 98,480.69

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Why These Related Problems?

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