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Finding the Fourth Proportional to 149,195.52, 205,830.72 and 103,861.44

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Solution

The fourth proportional to 149,195.52, 205,830.72 and 103,861.44 is: 143,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,195.52 : 205,830.72 = 103,861.44 : x
  2. Step 2: Convert to fraction form
    149,195.52/205,830.72 = 103,861.44/x
  3. Step 3: Cross multiply
    149,195.52x = 205,830.72 × 103,861.44
  4. Step 4: Simplify right side
    149,195.52x = 21,377,874,975.44
  5. Step 5: Solve for x
    x = 21,377,874,975.44/149,195.52
  6. Step 6: Final answer
    x = 143,287.65

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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.