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Finding the Fourth Proportional to 76,396, 114,600.48 and 20,992

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Solution

The fourth proportional to 76,396, 114,600.48 and 20,992 is: 31,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396 : 114,600.48 = 20,992 : x
  2. Step 2: Convert to fraction form
    76,396/114,600.48 = 20,992/x
  3. Step 3: Cross multiply
    76,396x = 114,600.48 × 20,992
  4. Step 4: Simplify right side
    76,396x = 2,405,693,276.16
  5. Step 5: Solve for x
    x = 2,405,693,276.16/76,396
  6. Step 6: Final answer
    x = 31,489.78

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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.