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Finding the Fourth Proportional to 53,874.40, 80,790 and 31,693.60

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Solution

The fourth proportional to 53,874.40, 80,790 and 31,693.60 is: 47,527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874.40 : 80,790 = 31,693.60 : x
  2. Step 2: Convert to fraction form
    53,874.40/80,790 = 31,693.60/x
  3. Step 3: Cross multiply
    53,874.40x = 80,790 × 31,693.60
  4. Step 4: Simplify right side
    53,874.40x = 2,560,525,944
  5. Step 5: Solve for x
    x = 2,560,525,944/53,874.40
  6. Step 6: Final answer
    x = 47,527.69

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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.