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Finding the Fourth Proportional to 113,912.40, 170,868.60 and 82,419.60

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Solution

The fourth proportional to 113,912.40, 170,868.60 and 82,419.60 is: 123,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,912.40 : 170,868.60 = 82,419.60 : x
  2. Step 2: Convert to fraction form
    113,912.40/170,868.60 = 82,419.60/x
  3. Step 3: Cross multiply
    113,912.40x = 170,868.60 × 82,419.60
  4. Step 4: Simplify right side
    113,912.40x = 14,082,921,664.56
  5. Step 5: Solve for x
    x = 14,082,921,664.56/113,912.40
  6. Step 6: Final answer
    x = 123,629.40

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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.