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Finding the Fourth Proportional to 131,119, 196,624.26 and 41,131.70

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Solution

The fourth proportional to 131,119, 196,624.26 and 41,131.70 is: 61,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,119 : 196,624.26 = 41,131.70 : x
  2. Step 2: Convert to fraction form
    131,119/196,624.26 = 41,131.70/x
  3. Step 3: Cross multiply
    131,119x = 196,624.26 × 41,131.70
  4. Step 4: Simplify right side
    131,119x = 8,087,490,075.04
  5. Step 5: Solve for x
    x = 8,087,490,075.04/131,119
  6. Step 6: Final answer
    x = 61,680.54

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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.