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Finding the Fourth Proportional to 131,091.60, 196,491.60 and 71,969.70

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Solution

The fourth proportional to 131,091.60, 196,491.60 and 71,969.70 is: 107,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,091.60 : 196,491.60 = 71,969.70 : x
  2. Step 2: Convert to fraction form
    131,091.60/196,491.60 = 71,969.70/x
  3. Step 3: Cross multiply
    131,091.60x = 196,491.60 × 71,969.70
  4. Step 4: Simplify right side
    131,091.60x = 14,141,441,504.52
  5. Step 5: Solve for x
    x = 14,141,441,504.52/131,091.60
  6. Step 6: Final answer
    x = 107,874.51

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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.