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Finding the Fourth Proportional to 250,197.84, 345,241.80 and 142,756.56

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Solution

The fourth proportional to 250,197.84, 345,241.80 and 142,756.56 is: 196,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,197.84 : 345,241.80 = 142,756.56 : x
  2. Step 2: Convert to fraction form
    250,197.84/345,241.80 = 142,756.56/x
  3. Step 3: Cross multiply
    250,197.84x = 345,241.80 × 142,756.56
  4. Step 4: Simplify right side
    250,197.84x = 49,285,531,736.21
  5. Step 5: Solve for x
    x = 49,285,531,736.21/250,197.84
  6. Step 6: Final answer
    x = 196,986.24

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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.