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Finding the Fourth Proportional to 198,658, 274,148.04 and 109,234

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Solution

The fourth proportional to 198,658, 274,148.04 and 109,234 is: 150,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,658 : 274,148.04 = 109,234 : x
  2. Step 2: Convert to fraction form
    198,658/274,148.04 = 109,234/x
  3. Step 3: Cross multiply
    198,658x = 274,148.04 × 109,234
  4. Step 4: Simplify right side
    198,658x = 29,946,287,001.36
  5. Step 5: Solve for x
    x = 29,946,287,001.36/198,658
  6. Step 6: Final answer
    x = 150,742.92

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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.