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Finding the Fourth Proportional to 198,465, 273,886.02 and 109,041

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Solution

The fourth proportional to 198,465, 273,886.02 and 109,041 is: 150,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,465 : 273,886.02 = 109,041 : x
  2. Step 2: Convert to fraction form
    198,465/273,886.02 = 109,041/x
  3. Step 3: Cross multiply
    198,465x = 273,886.02 × 109,041
  4. Step 4: Simplify right side
    198,465x = 29,864,805,506.82
  5. Step 5: Solve for x
    x = 29,864,805,506.82/198,465
  6. Step 6: Final answer
    x = 150,478.95

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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.