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Finding the Fourth Proportional to 80,824, 111,540.58 and 45,014

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Solution

The fourth proportional to 80,824, 111,540.58 and 45,014 is: 62,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,824 : 111,540.58 = 45,014 : x
  2. Step 2: Convert to fraction form
    80,824/111,540.58 = 45,014/x
  3. Step 3: Cross multiply
    80,824x = 111,540.58 × 45,014
  4. Step 4: Simplify right side
    80,824x = 5,020,887,668.12
  5. Step 5: Solve for x
    x = 5,020,887,668.12/80,824
  6. Step 6: Final answer
    x = 62,121.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.