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Finding the Fourth Proportional to 208,659, 287,949.42 and 119,235

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Solution

The fourth proportional to 208,659, 287,949.42 and 119,235 is: 164,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,659 : 287,949.42 = 119,235 : x
  2. Step 2: Convert to fraction form
    208,659/287,949.42 = 119,235/x
  3. Step 3: Cross multiply
    208,659x = 287,949.42 × 119,235
  4. Step 4: Simplify right side
    208,659x = 34,333,649,093.70
  5. Step 5: Solve for x
    x = 34,333,649,093.70/208,659
  6. Step 6: Final answer
    x = 164,544.30

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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.