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Finding the Fourth Proportional to 76,672.80, 114,940.80 and 29,914.80

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Solution

The fourth proportional to 76,672.80, 114,940.80 and 29,914.80 is: 44,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,672.80 : 114,940.80 = 29,914.80 : x
  2. Step 2: Convert to fraction form
    76,672.80/114,940.80 = 29,914.80/x
  3. Step 3: Cross multiply
    76,672.80x = 114,940.80 × 29,914.80
  4. Step 4: Simplify right side
    76,672.80x = 3,438,431,043.84
  5. Step 5: Solve for x
    x = 3,438,431,043.84/76,672.80
  6. Step 6: Final answer
    x = 44,845.51

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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.