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Finding the Fourth Proportional to 149,146.14, 205,821.60 and 82,078.14

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Solution

The fourth proportional to 149,146.14, 205,821.60 and 82,078.14 is: 113,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,146.14 : 205,821.60 = 82,078.14 : x
  2. Step 2: Convert to fraction form
    149,146.14/205,821.60 = 82,078.14/x
  3. Step 3: Cross multiply
    149,146.14x = 205,821.60 × 82,078.14
  4. Step 4: Simplify right side
    149,146.14x = 16,893,454,099.82
  5. Step 5: Solve for x
    x = 16,893,454,099.82/149,146.14
  6. Step 6: Final answer
    x = 113,267.79

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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.