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Finding the Fourth Proportional to 208,409.93, 287,601.94 and 117,763.94

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Solution

The fourth proportional to 208,409.93, 287,601.94 and 117,763.94 is: 162,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,409.93 : 287,601.94 = 117,763.94 : x
  2. Step 2: Convert to fraction form
    208,409.93/287,601.94 = 117,763.94/x
  3. Step 3: Cross multiply
    208,409.93x = 287,601.94 × 117,763.94
  4. Step 4: Simplify right side
    208,409.93x = 33,869,137,172.94
  5. Step 5: Solve for x
    x = 33,869,137,172.94/208,409.93
  6. Step 6: Final answer
    x = 162,512.11

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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.