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Finding the Fourth Proportional to 51,481.40, 71,044.88 and 30,261

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Solution

The fourth proportional to 51,481.40, 71,044.88 and 30,261 is: 41,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,481.40 : 71,044.88 = 30,261 : x
  2. Step 2: Convert to fraction form
    51,481.40/71,044.88 = 30,261/x
  3. Step 3: Cross multiply
    51,481.40x = 71,044.88 × 30,261
  4. Step 4: Simplify right side
    51,481.40x = 2,149,889,113.68
  5. Step 5: Solve for x
    x = 2,149,889,113.68/51,481.40
  6. Step 6: Final answer
    x = 41,760.50

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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.