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Finding the Fourth Proportional to 129,901.10, 194,815.20 and 41,181.80

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Solution

The fourth proportional to 129,901.10, 194,815.20 and 41,181.80 is: 61,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,901.10 : 194,815.20 = 41,181.80 : x
  2. Step 2: Convert to fraction form
    129,901.10/194,815.20 = 41,181.80/x
  3. Step 3: Cross multiply
    129,901.10x = 194,815.20 × 41,181.80
  4. Step 4: Simplify right side
    129,901.10x = 8,022,840,603.36
  5. Step 5: Solve for x
    x = 8,022,840,603.36/129,901.10
  6. Step 6: Final answer
    x = 61,761.14

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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.