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Finding the Fourth Proportional to 78,992.86, 118,489.26 and 31,629.26

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Solution

The fourth proportional to 78,992.86, 118,489.26 and 31,629.26 is: 47,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,992.86 : 118,489.26 = 31,629.26 : x
  2. Step 2: Convert to fraction form
    78,992.86/118,489.26 = 31,629.26/x
  3. Step 3: Cross multiply
    78,992.86x = 118,489.26 × 31,629.26
  4. Step 4: Simplify right side
    78,992.86x = 3,747,727,611.75
  5. Step 5: Solve for x
    x = 3,747,727,611.75/78,992.86
  6. Step 6: Final answer
    x = 47,443.88

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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.