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Finding the Fourth Proportional to 198,462, 273,881.88 and 109,038

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Solution

The fourth proportional to 198,462, 273,881.88 and 109,038 is: 150,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,462 : 273,881.88 = 109,038 : x
  2. Step 2: Convert to fraction form
    198,462/273,881.88 = 109,038/x
  3. Step 3: Cross multiply
    198,462x = 273,881.88 × 109,038
  4. Step 4: Simplify right side
    198,462x = 29,863,532,431.44
  5. Step 5: Solve for x
    x = 29,863,532,431.44/198,462
  6. Step 6: Final answer
    x = 150,474.81

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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.