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Finding the Fourth Proportional to 198,478, 273,899.64 and 109,054

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Solution

The fourth proportional to 198,478, 273,899.64 and 109,054 is: 150,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,478 : 273,899.64 = 109,054 : x
  2. Step 2: Convert to fraction form
    198,478/273,899.64 = 109,054/x
  3. Step 3: Cross multiply
    198,478x = 273,899.64 × 109,054
  4. Step 4: Simplify right side
    198,478x = 29,869,851,340.56
  5. Step 5: Solve for x
    x = 29,869,851,340.56/198,478
  6. Step 6: Final answer
    x = 150,494.52

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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.