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Finding the Fourth Proportional to 65,936.50, 90,992.37 and 36,127.86

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Solution

The fourth proportional to 65,936.50, 90,992.37 and 36,127.86 is: 49,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936.50 : 90,992.37 = 36,127.86 : x
  2. Step 2: Convert to fraction form
    65,936.50/90,992.37 = 36,127.86/x
  3. Step 3: Cross multiply
    65,936.50x = 90,992.37 × 36,127.86
  4. Step 4: Simplify right side
    65,936.50x = 3,287,359,604.43
  5. Step 5: Solve for x
    x = 3,287,359,604.43/65,936.50
  6. Step 6: Final answer
    x = 49,856.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.