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Finding the Fourth Proportional to 209,891.94, 289,422.19 and 141,790.73

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Solution

The fourth proportional to 209,891.94, 289,422.19 and 141,790.73 is: 195,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,891.94 : 289,422.19 = 141,790.73 : x
  2. Step 2: Convert to fraction form
    209,891.94/289,422.19 = 141,790.73/x
  3. Step 3: Cross multiply
    209,891.94x = 289,422.19 × 141,790.73
  4. Step 4: Simplify right side
    209,891.94x = 41,037,383,598.30
  5. Step 5: Solve for x
    x = 41,037,383,598.30/209,891.94
  6. Step 6: Final answer
    x = 195,516.72

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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.