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Finding the Fourth Proportional to 65,899, 90,942.90 and 36,091

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Solution

The fourth proportional to 65,899, 90,942.90 and 36,091 is: 49,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,899 : 90,942.90 = 36,091 : x
  2. Step 2: Convert to fraction form
    65,899/90,942.90 = 36,091/x
  3. Step 3: Cross multiply
    65,899x = 90,942.90 × 36,091
  4. Step 4: Simplify right side
    65,899x = 3,282,220,203.90
  5. Step 5: Solve for x
    x = 3,282,220,203.90/65,899
  6. Step 6: Final answer
    x = 49,806.83

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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.