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Finding the Fourth Proportional to 76,961.10, 115,384.05 and 41,940.30

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Solution

The fourth proportional to 76,961.10, 115,384.05 and 41,940.30 is: 62,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,961.10 : 115,384.05 = 41,940.30 : x
  2. Step 2: Convert to fraction form
    76,961.10/115,384.05 = 41,940.30/x
  3. Step 3: Cross multiply
    76,961.10x = 115,384.05 × 41,940.30
  4. Step 4: Simplify right side
    76,961.10x = 4,839,241,672.22
  5. Step 5: Solve for x
    x = 4,839,241,672.22/76,961.10
  6. Step 6: Final answer
    x = 62,879.06

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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.