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Finding the Fourth Proportional to 201,662.97, 278,264.05 and 116,763.63

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Solution

The fourth proportional to 201,662.97, 278,264.05 and 116,763.63 is: 161,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.97 : 278,264.05 = 116,763.63 : x
  2. Step 2: Convert to fraction form
    201,662.97/278,264.05 = 116,763.63/x
  3. Step 3: Cross multiply
    201,662.97x = 278,264.05 × 116,763.63
  4. Step 4: Simplify right side
    201,662.97x = 32,491,120,576.50
  5. Step 5: Solve for x
    x = 32,491,120,576.50/201,662.97
  6. Step 6: Final answer
    x = 161,115.95

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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.