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Finding the Fourth Proportional to 198,818, 274,374.60 and 109,394

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Solution

The fourth proportional to 198,818, 274,374.60 and 109,394 is: 150,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,818 : 274,374.60 = 109,394 : x
  2. Step 2: Convert to fraction form
    198,818/274,374.60 = 109,394/x
  3. Step 3: Cross multiply
    198,818x = 274,374.60 × 109,394
  4. Step 4: Simplify right side
    198,818x = 30,014,934,992.40
  5. Step 5: Solve for x
    x = 30,014,934,992.40/198,818
  6. Step 6: Final answer
    x = 150,966.89

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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.