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Finding the Fourth Proportional to 51,144, 76,716.96 and 14,208.96

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Solution

The fourth proportional to 51,144, 76,716.96 and 14,208.96 is: 21,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,144 : 76,716.96 = 14,208.96 : x
  2. Step 2: Convert to fraction form
    51,144/76,716.96 = 14,208.96/x
  3. Step 3: Cross multiply
    51,144x = 76,716.96 × 14,208.96
  4. Step 4: Simplify right side
    51,144x = 1,090,068,215.96
  5. Step 5: Solve for x
    x = 1,090,068,215.96/51,144
  6. Step 6: Final answer
    x = 21,313.71

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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.