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Finding the Fourth Proportional to 76,716.30, 114,923.78 and 68,357.10

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Solution

The fourth proportional to 76,716.30, 114,923.78 and 68,357.10 is: 102,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716.30 : 114,923.78 = 68,357.10 : x
  2. Step 2: Convert to fraction form
    76,716.30/114,923.78 = 68,357.10/x
  3. Step 3: Cross multiply
    76,716.30x = 114,923.78 × 68,357.10
  4. Step 4: Simplify right side
    76,716.30x = 7,855,856,321.84
  5. Step 5: Solve for x
    x = 7,855,856,321.84/76,716.30
  6. Step 6: Final answer
    x = 102,401.40

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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.