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Finding the Fourth Proportional to 147,701, 203,827.38 and 80,633

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Solution

The fourth proportional to 147,701, 203,827.38 and 80,633 is: 111,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,701 : 203,827.38 = 80,633 : x
  2. Step 2: Convert to fraction form
    147,701/203,827.38 = 80,633/x
  3. Step 3: Cross multiply
    147,701x = 203,827.38 × 80,633
  4. Step 4: Simplify right side
    147,701x = 16,435,213,131.54
  5. Step 5: Solve for x
    x = 16,435,213,131.54/147,701
  6. Step 6: Final answer
    x = 111,273.54

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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.