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Finding the Fourth Proportional to 142,201.80, 213,194.70 and 72,131.40

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Solution

The fourth proportional to 142,201.80, 213,194.70 and 72,131.40 is: 108,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,201.80 : 213,194.70 = 72,131.40 : x
  2. Step 2: Convert to fraction form
    142,201.80/213,194.70 = 72,131.40/x
  3. Step 3: Cross multiply
    142,201.80x = 213,194.70 × 72,131.40
  4. Step 4: Simplify right side
    142,201.80x = 15,378,032,183.58
  5. Step 5: Solve for x
    x = 15,378,032,183.58/142,201.80
  6. Step 6: Final answer
    x = 108,142.32

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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.