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Finding the Fourth Proportional to 142,797.80, 213,735.90 and 131,738.60

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Solution

The fourth proportional to 142,797.80, 213,735.90 and 131,738.60 is: 197,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,797.80 : 213,735.90 = 131,738.60 : x
  2. Step 2: Convert to fraction form
    142,797.80/213,735.90 = 131,738.60/x
  3. Step 3: Cross multiply
    142,797.80x = 213,735.90 × 131,738.60
  4. Step 4: Simplify right side
    142,797.80x = 28,157,268,235.74
  5. Step 5: Solve for x
    x = 28,157,268,235.74/142,797.80
  6. Step 6: Final answer
    x = 197,182.79

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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.