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Finding the Fourth Proportional to 209,886.26, 289,650.78 and 119,257.58

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Solution

The fourth proportional to 209,886.26, 289,650.78 and 119,257.58 is: 164,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,886.26 : 289,650.78 = 119,257.58 : x
  2. Step 2: Convert to fraction form
    209,886.26/289,650.78 = 119,257.58/x
  3. Step 3: Cross multiply
    209,886.26x = 289,650.78 × 119,257.58
  4. Step 4: Simplify right side
    209,886.26x = 34,543,051,067.91
  5. Step 5: Solve for x
    x = 34,543,051,067.91/209,886.26
  6. Step 6: Final answer
    x = 164,579.86

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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.