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Finding the Fourth Proportional to 87,403, 131,104.86 and 31,999

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Solution

The fourth proportional to 87,403, 131,104.86 and 31,999 is: 47,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,403 : 131,104.86 = 31,999 : x
  2. Step 2: Convert to fraction form
    87,403/131,104.86 = 31,999/x
  3. Step 3: Cross multiply
    87,403x = 131,104.86 × 31,999
  4. Step 4: Simplify right side
    87,403x = 4,195,224,415.14
  5. Step 5: Solve for x
    x = 4,195,224,415.14/87,403
  6. Step 6: Final answer
    x = 47,998.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.