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Finding the Fourth Proportional to 76,344.50, 114,519.99 and 20,940.50

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Solution

The fourth proportional to 76,344.50, 114,519.99 and 20,940.50 is: 31,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344.50 : 114,519.99 = 20,940.50 : x
  2. Step 2: Convert to fraction form
    76,344.50/114,519.99 = 20,940.50/x
  3. Step 3: Cross multiply
    76,344.50x = 114,519.99 × 20,940.50
  4. Step 4: Simplify right side
    76,344.50x = 2,398,105,850.60
  5. Step 5: Solve for x
    x = 2,398,105,850.60/76,344.50
  6. Step 6: Final answer
    x = 31,411.64

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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.