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Finding the Fourth Proportional to 76,418.40, 114,530.40 and 68,059.20

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Solution

The fourth proportional to 76,418.40, 114,530.40 and 68,059.20 is: 102,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.40 : 114,530.40 = 68,059.20 : x
  2. Step 2: Convert to fraction form
    76,418.40/114,530.40 = 68,059.20/x
  3. Step 3: Cross multiply
    76,418.40x = 114,530.40 × 68,059.20
  4. Step 4: Simplify right side
    76,418.40x = 7,794,847,399.68
  5. Step 5: Solve for x
    x = 7,794,847,399.68/76,418.40
  6. Step 6: Final answer
    x = 102,002.23

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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.