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Finding the Fourth Proportional to 76,305, 114,458.31 and 20,901

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Solution

The fourth proportional to 76,305, 114,458.31 and 20,901 is: 31,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305 : 114,458.31 = 20,901 : x
  2. Step 2: Convert to fraction form
    76,305/114,458.31 = 20,901/x
  3. Step 3: Cross multiply
    76,305x = 114,458.31 × 20,901
  4. Step 4: Simplify right side
    76,305x = 2,392,293,137.31
  5. Step 5: Solve for x
    x = 2,392,293,137.31/76,305
  6. Step 6: Final answer
    x = 31,351.72

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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.