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Finding the Fourth Proportional to 142,418, 213,629.88 and 43,922

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Solution

The fourth proportional to 142,418, 213,629.88 and 43,922 is: 65,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,418 : 213,629.88 = 43,922 : x
  2. Step 2: Convert to fraction form
    142,418/213,629.88 = 43,922/x
  3. Step 3: Cross multiply
    142,418x = 213,629.88 × 43,922
  4. Step 4: Simplify right side
    142,418x = 9,383,051,589.36
  5. Step 5: Solve for x
    x = 9,383,051,589.36/142,418
  6. Step 6: Final answer
    x = 65,883.89

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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.