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Finding the Fourth Proportional to 130,940.69, 196,422.35 and 36,170.84

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Solution

The fourth proportional to 130,940.69, 196,422.35 and 36,170.84 is: 54,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,940.69 : 196,422.35 = 36,170.84 : x
  2. Step 2: Convert to fraction form
    130,940.69/196,422.35 = 36,170.84/x
  3. Step 3: Cross multiply
    130,940.69x = 196,422.35 × 36,170.84
  4. Step 4: Simplify right side
    130,940.69x = 7,104,760,231.31
  5. Step 5: Solve for x
    x = 7,104,760,231.31/130,940.69
  6. Step 6: Final answer
    x = 54,259.38

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