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Finding the Fourth Proportional to 215,729.09, 323,739.44 and 75,488.93

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Solution

The fourth proportional to 215,729.09, 323,739.44 and 75,488.93 is: 113,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,729.09 : 323,739.44 = 75,488.93 : x
  2. Step 2: Convert to fraction form
    215,729.09/323,739.44 = 75,488.93/x
  3. Step 3: Cross multiply
    215,729.09x = 323,739.44 × 75,488.93
  4. Step 4: Simplify right side
    215,729.09x = 24,438,743,546.95
  5. Step 5: Solve for x
    x = 24,438,743,546.95/215,729.09
  6. Step 6: Final answer
    x = 113,284.41

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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.