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Finding the Fourth Proportional to 198,978.63, 274,595.43 and 108,339.48

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Solution

The fourth proportional to 198,978.63, 274,595.43 and 108,339.48 is: 149,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,978.63 : 274,595.43 = 108,339.48 : x
  2. Step 2: Convert to fraction form
    198,978.63/274,595.43 = 108,339.48/x
  3. Step 3: Cross multiply
    198,978.63x = 274,595.43 × 108,339.48
  4. Step 4: Simplify right side
    198,978.63x = 29,749,526,096.58
  5. Step 5: Solve for x
    x = 29,749,526,096.58/198,978.63
  6. Step 6: Final answer
    x = 149,511.16

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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.