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Finding the Fourth Proportional to 193,245.68, 289,969.86 and 140,374.46

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Solution

The fourth proportional to 193,245.68, 289,969.86 and 140,374.46 is: 210,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,245.68 : 289,969.86 = 140,374.46 : x
  2. Step 2: Convert to fraction form
    193,245.68/289,969.86 = 140,374.46/x
  3. Step 3: Cross multiply
    193,245.68x = 289,969.86 × 140,374.46
  4. Step 4: Simplify right side
    193,245.68x = 40,704,362,513.78
  5. Step 5: Solve for x
    x = 40,704,362,513.78/193,245.68
  6. Step 6: Final answer
    x = 210,635.30

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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.