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Finding the Fourth Proportional to 84,066, 126,121.44 and 31,480.80

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Solution

The fourth proportional to 84,066, 126,121.44 and 31,480.80 is: 47,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,066 : 126,121.44 = 31,480.80 : x
  2. Step 2: Convert to fraction form
    84,066/126,121.44 = 31,480.80/x
  3. Step 3: Cross multiply
    84,066x = 126,121.44 × 31,480.80
  4. Step 4: Simplify right side
    84,066x = 3,970,403,828.35
  5. Step 5: Solve for x
    x = 3,970,403,828.35/84,066
  6. Step 6: Final answer
    x = 47,229.60

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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.