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Finding the Fourth Proportional to 149,605.75, 206,448.72 and 81,618.67

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Solution

The fourth proportional to 149,605.75, 206,448.72 and 81,618.67 is: 112,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,605.75 : 206,448.72 = 81,618.67 : x
  2. Step 2: Convert to fraction form
    149,605.75/206,448.72 = 81,618.67/x
  3. Step 3: Cross multiply
    149,605.75x = 206,448.72 × 81,618.67
  4. Step 4: Simplify right side
    149,605.75x = 16,850,069,949.60
  5. Step 5: Solve for x
    x = 16,850,069,949.60/149,605.75
  6. Step 6: Final answer
    x = 112,629.83

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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.