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Finding the Fourth Proportional to 131,116, 196,819.89 and 67,919.26

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Solution

The fourth proportional to 131,116, 196,819.89 and 67,919.26 is: 101,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,116 : 196,819.89 = 67,919.26 : x
  2. Step 2: Convert to fraction form
    131,116/196,819.89 = 67,919.26/x
  3. Step 3: Cross multiply
    131,116x = 196,819.89 × 67,919.26
  4. Step 4: Simplify right side
    131,116x = 13,367,861,282.08
  5. Step 5: Solve for x
    x = 13,367,861,282.08/131,116
  6. Step 6: Final answer
    x = 101,954.46

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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.