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Finding the Fourth Proportional to 51,561, 71,143.38 and 30,342.60

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Solution

The fourth proportional to 51,561, 71,143.38 and 30,342.60 is: 41,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,561 : 71,143.38 = 30,342.60 : x
  2. Step 2: Convert to fraction form
    51,561/71,143.38 = 30,342.60/x
  3. Step 3: Cross multiply
    51,561x = 71,143.38 × 30,342.60
  4. Step 4: Simplify right side
    51,561x = 2,158,675,121.99
  5. Step 5: Solve for x
    x = 2,158,675,121.99/51,561
  6. Step 6: Final answer
    x = 41,866.43

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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.