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Finding the Fourth Proportional to 51,954, 71,696.50 and 28,080.66

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Solution

The fourth proportional to 51,954, 71,696.50 and 28,080.66 is: 38,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954 : 71,696.50 = 28,080.66 : x
  2. Step 2: Convert to fraction form
    51,954/71,696.50 = 28,080.66/x
  3. Step 3: Cross multiply
    51,954x = 71,696.50 × 28,080.66
  4. Step 4: Simplify right side
    51,954x = 2,013,285,039.69
  5. Step 5: Solve for x
    x = 2,013,285,039.69/51,954
  6. Step 6: Final answer
    x = 38,751.30

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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.