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Finding the Fourth Proportional to 81,405.80, 122,108.70 and 57,786.20

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Solution

The fourth proportional to 81,405.80, 122,108.70 and 57,786.20 is: 86,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.80 : 122,108.70 = 57,786.20 : x
  2. Step 2: Convert to fraction form
    81,405.80/122,108.70 = 57,786.20/x
  3. Step 3: Cross multiply
    81,405.80x = 122,108.70 × 57,786.20
  4. Step 4: Simplify right side
    81,405.80x = 7,056,197,759.94
  5. Step 5: Solve for x
    x = 7,056,197,759.94/81,405.80
  6. Step 6: Final answer
    x = 86,679.30

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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.