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Finding the Fourth Proportional to 208,450, 287,661 and 119,026

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Solution

The fourth proportional to 208,450, 287,661 and 119,026 is: 164,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,450 : 287,661 = 119,026 : x
  2. Step 2: Convert to fraction form
    208,450/287,661 = 119,026/x
  3. Step 3: Cross multiply
    208,450x = 287,661 × 119,026
  4. Step 4: Simplify right side
    208,450x = 34,239,138,186
  5. Step 5: Solve for x
    x = 34,239,138,186/208,450
  6. Step 6: Final answer
    x = 164,255.88

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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.