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Finding the Fourth Proportional to 208,409.14, 287,600.85 and 117,763.16

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Solution

The fourth proportional to 208,409.14, 287,600.85 and 117,763.16 is: 162,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,409.14 : 287,600.85 = 117,763.16 : x
  2. Step 2: Convert to fraction form
    208,409.14/287,600.85 = 117,763.16/x
  3. Step 3: Cross multiply
    208,409.14x = 287,600.85 × 117,763.16
  4. Step 4: Simplify right side
    208,409.14x = 33,868,783,476.68
  5. Step 5: Solve for x
    x = 33,868,783,476.68/208,409.14
  6. Step 6: Final answer
    x = 162,511.03

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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.