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Finding the Fourth Proportional to 133,968.60, 200,661.30 and 81,286.20

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Solution

The fourth proportional to 133,968.60, 200,661.30 and 81,286.20 is: 121,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,968.60 : 200,661.30 = 81,286.20 : x
  2. Step 2: Convert to fraction form
    133,968.60/200,661.30 = 81,286.20/x
  3. Step 3: Cross multiply
    133,968.60x = 200,661.30 × 81,286.20
  4. Step 4: Simplify right side
    133,968.60x = 16,310,994,564.06
  5. Step 5: Solve for x
    x = 16,310,994,564.06/133,968.60
  6. Step 6: Final answer
    x = 121,752.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.