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Finding the Fourth Proportional to 82,771.80, 124,416.90 and 81,216.60

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Solution

The fourth proportional to 82,771.80, 124,416.90 and 81,216.60 is: 122,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771.80 : 124,416.90 = 81,216.60 : x
  2. Step 2: Convert to fraction form
    82,771.80/124,416.90 = 81,216.60/x
  3. Step 3: Cross multiply
    82,771.80x = 124,416.90 × 81,216.60
  4. Step 4: Simplify right side
    82,771.80x = 10,104,717,600.54
  5. Step 5: Solve for x
    x = 10,104,717,600.54/82,771.80
  6. Step 6: Final answer
    x = 122,079.23

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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.