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Finding the Fourth Proportional to 65,231.31, 90,019.21 and 36,942.47

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Solution

The fourth proportional to 65,231.31, 90,019.21 and 36,942.47 is: 50,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.31 : 90,019.21 = 36,942.47 : x
  2. Step 2: Convert to fraction form
    65,231.31/90,019.21 = 36,942.47/x
  3. Step 3: Cross multiply
    65,231.31x = 90,019.21 × 36,942.47
  4. Step 4: Simplify right side
    65,231.31x = 3,325,531,964.85
  5. Step 5: Solve for x
    x = 3,325,531,964.85/65,231.31
  6. Step 6: Final answer
    x = 50,980.61

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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.