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Finding the Fourth Proportional to 129,901, 194,857.17 and 41,161.05

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Solution

The fourth proportional to 129,901, 194,857.17 and 41,161.05 is: 61,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,901 : 194,857.17 = 41,161.05 : x
  2. Step 2: Convert to fraction form
    129,901/194,857.17 = 41,161.05/x
  3. Step 3: Cross multiply
    129,901x = 194,857.17 × 41,161.05
  4. Step 4: Simplify right side
    129,901x = 8,020,525,717.23
  5. Step 5: Solve for x
    x = 8,020,525,717.23/129,901
  6. Step 6: Final answer
    x = 61,743.37

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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.