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Finding the Fourth Proportional to 149,137.10, 205,809.12 and 82,069.10

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Solution

The fourth proportional to 149,137.10, 205,809.12 and 82,069.10 is: 113,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,137.10 : 205,809.12 = 82,069.10 : x
  2. Step 2: Convert to fraction form
    149,137.10/205,809.12 = 82,069.10/x
  3. Step 3: Cross multiply
    149,137.10x = 205,809.12 × 82,069.10
  4. Step 4: Simplify right side
    149,137.10x = 16,890,569,250.19
  5. Step 5: Solve for x
    x = 16,890,569,250.19/149,137.10
  6. Step 6: Final answer
    x = 113,255.32

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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.