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Finding the Fourth Proportional to 76,809.80, 115,234.13 and 21,405.80

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Solution

The fourth proportional to 76,809.80, 115,234.13 and 21,405.80 is: 32,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.80 : 115,234.13 = 21,405.80 : x
  2. Step 2: Convert to fraction form
    76,809.80/115,234.13 = 21,405.80/x
  3. Step 3: Cross multiply
    76,809.80x = 115,234.13 × 21,405.80
  4. Step 4: Simplify right side
    76,809.80x = 2,466,678,739.95
  5. Step 5: Solve for x
    x = 2,466,678,739.95/76,809.80
  6. Step 6: Final answer
    x = 32,114.11

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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.