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Finding the Fourth Proportional to 193,840.74, 290,704.92 and 75,485.70

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Solution

The fourth proportional to 193,840.74, 290,704.92 and 75,485.70 is: 113,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,840.74 : 290,704.92 = 75,485.70 : x
  2. Step 2: Convert to fraction form
    193,840.74/290,704.92 = 75,485.70/x
  3. Step 3: Cross multiply
    193,840.74x = 290,704.92 × 75,485.70
  4. Step 4: Simplify right side
    193,840.74x = 21,944,064,379.64
  5. Step 5: Solve for x
    x = 21,944,064,379.64/193,840.74
  6. Step 6: Final answer
    x = 113,206.67

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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.