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Finding the Fourth Proportional to 257,173.44, 354,895.60 and 142,451.70

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Solution

The fourth proportional to 257,173.44, 354,895.60 and 142,451.70 is: 196,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,173.44 : 354,895.60 = 142,451.70 : x
  2. Step 2: Convert to fraction form
    257,173.44/354,895.60 = 142,451.70/x
  3. Step 3: Cross multiply
    257,173.44x = 354,895.60 × 142,451.70
  4. Step 4: Simplify right side
    257,173.44x = 50,555,481,186.39
  5. Step 5: Solve for x
    x = 50,555,481,186.39/257,173.44
  6. Step 6: Final answer
    x = 196,581.27

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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.