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Finding the Fourth Proportional to 76,716.72, 114,948.72 and 66,744

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Solution

The fourth proportional to 76,716.72, 114,948.72 and 66,744 is: 100,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716.72 : 114,948.72 = 66,744 : x
  2. Step 2: Convert to fraction form
    76,716.72/114,948.72 = 66,744/x
  3. Step 3: Cross multiply
    76,716.72x = 114,948.72 × 66,744
  4. Step 4: Simplify right side
    76,716.72x = 7,672,137,367.68
  5. Step 5: Solve for x
    x = 7,672,137,367.68/76,716.72
  6. Step 6: Final answer
    x = 100,006.07

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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.