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Finding the Fourth Proportional to 51,678, 71,304.60 and 30,449.52

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Solution

The fourth proportional to 51,678, 71,304.60 and 30,449.52 is: 42,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678 : 71,304.60 = 30,449.52 : x
  2. Step 2: Convert to fraction form
    51,678/71,304.60 = 30,449.52/x
  3. Step 3: Cross multiply
    51,678x = 71,304.60 × 30,449.52
  4. Step 4: Simplify right side
    51,678x = 2,171,190,843.79
  5. Step 5: Solve for x
    x = 2,171,190,843.79/51,678
  6. Step 6: Final answer
    x = 42,013.83

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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.