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Finding the Fourth Proportional to 132,740.84, 198,643.30 and 82,844.32

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Solution

The fourth proportional to 132,740.84, 198,643.30 and 82,844.32 is: 123,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,740.84 : 198,643.30 = 82,844.32 : x
  2. Step 2: Convert to fraction form
    132,740.84/198,643.30 = 82,844.32/x
  3. Step 3: Cross multiply
    132,740.84x = 198,643.30 × 82,844.32
  4. Step 4: Simplify right side
    132,740.84x = 16,456,469,111.06
  5. Step 5: Solve for x
    x = 16,456,469,111.06/132,740.84
  6. Step 6: Final answer
    x = 123,974.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.