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Finding the Fourth Proportional to 51,498, 71,059.02 and 28,837.98

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Solution

The fourth proportional to 51,498, 71,059.02 and 28,837.98 is: 39,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498 : 71,059.02 = 28,837.98 : x
  2. Step 2: Convert to fraction form
    51,498/71,059.02 = 28,837.98/x
  3. Step 3: Cross multiply
    51,498x = 71,059.02 × 28,837.98
  4. Step 4: Simplify right side
    51,498x = 2,049,198,597.58
  5. Step 5: Solve for x
    x = 2,049,198,597.58/51,498
  6. Step 6: Final answer
    x = 39,791.81

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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.