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Finding the Fourth Proportional to 76,964.20, 115,227.60 and 68,216.20

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Solution

The fourth proportional to 76,964.20, 115,227.60 and 68,216.20 is: 102,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964.20 : 115,227.60 = 68,216.20 : x
  2. Step 2: Convert to fraction form
    76,964.20/115,227.60 = 68,216.20/x
  3. Step 3: Cross multiply
    76,964.20x = 115,227.60 × 68,216.20
  4. Step 4: Simplify right side
    76,964.20x = 7,860,389,007.12
  5. Step 5: Solve for x
    x = 7,860,389,007.12/76,964.20
  6. Step 6: Final answer
    x = 102,130.46

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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.