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Finding the Fourth Proportional to 51,498, 71,071.49 and 28,842.21

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Solution

The fourth proportional to 51,498, 71,071.49 and 28,842.21 is: 39,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498 : 71,071.49 = 28,842.21 : x
  2. Step 2: Convert to fraction form
    51,498/71,071.49 = 28,842.21/x
  3. Step 3: Cross multiply
    51,498x = 71,071.49 × 28,842.21
  4. Step 4: Simplify right side
    51,498x = 2,049,858,911.70
  5. Step 5: Solve for x
    x = 2,049,858,911.70/51,498
  6. Step 6: Final answer
    x = 39,804.63

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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.