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Finding the Fourth Proportional to 76,805.80, 115,208.70 and 68,252.20

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Solution

The fourth proportional to 76,805.80, 115,208.70 and 68,252.20 is: 102,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,805.80 : 115,208.70 = 68,252.20 : x
  2. Step 2: Convert to fraction form
    76,805.80/115,208.70 = 68,252.20/x
  3. Step 3: Cross multiply
    76,805.80x = 115,208.70 × 68,252.20
  4. Step 4: Simplify right side
    76,805.80x = 7,863,247,234.14
  5. Step 5: Solve for x
    x = 7,863,247,234.14/76,805.80
  6. Step 6: Final answer
    x = 102,378.30

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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.