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Finding the Fourth Proportional to 76,496.40, 114,744.60 and 68,331.60

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Solution

The fourth proportional to 76,496.40, 114,744.60 and 68,331.60 is: 102,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,496.40 : 114,744.60 = 68,331.60 : x
  2. Step 2: Convert to fraction form
    76,496.40/114,744.60 = 68,331.60/x
  3. Step 3: Cross multiply
    76,496.40x = 114,744.60 × 68,331.60
  4. Step 4: Simplify right side
    76,496.40x = 7,840,682,109.36
  5. Step 5: Solve for x
    x = 7,840,682,109.36/76,496.40
  6. Step 6: Final answer
    x = 102,497.40

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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.