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Finding the Fourth Proportional to 83,476, 125,214 and 28,072

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Solution

The fourth proportional to 83,476, 125,214 and 28,072 is: 42,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,476 : 125,214 = 28,072 : x
  2. Step 2: Convert to fraction form
    83,476/125,214 = 28,072/x
  3. Step 3: Cross multiply
    83,476x = 125,214 × 28,072
  4. Step 4: Simplify right side
    83,476x = 3,515,007,408
  5. Step 5: Solve for x
    x = 3,515,007,408/83,476
  6. Step 6: Final answer
    x = 42,108

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.