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Finding the Fourth Proportional to 131,161.20, 196,237.80 and 130,825.20

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Solution

The fourth proportional to 131,161.20, 196,237.80 and 130,825.20 is: 195,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,161.20 : 196,237.80 = 130,825.20 : x
  2. Step 2: Convert to fraction form
    131,161.20/196,237.80 = 130,825.20/x
  3. Step 3: Cross multiply
    131,161.20x = 196,237.80 × 130,825.20
  4. Step 4: Simplify right side
    131,161.20x = 25,672,849,432.56
  5. Step 5: Solve for x
    x = 25,672,849,432.56/131,161.20
  6. Step 6: Final answer
    x = 195,735.09

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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.