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Finding the Fourth Proportional to 208,580.45, 287,846.69 and 117,949.98

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Solution

The fourth proportional to 208,580.45, 287,846.69 and 117,949.98 is: 162,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580.45 : 287,846.69 = 117,949.98 : x
  2. Step 2: Convert to fraction form
    208,580.45/287,846.69 = 117,949.98/x
  3. Step 3: Cross multiply
    208,580.45x = 287,846.69 × 117,949.98
  4. Step 4: Simplify right side
    208,580.45x = 33,951,511,328.57
  5. Step 5: Solve for x
    x = 33,951,511,328.57/208,580.45
  6. Step 6: Final answer
    x = 162,774.18

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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.