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Finding the Fourth Proportional to 83,974, 125,961 and 28,570

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Solution

The fourth proportional to 83,974, 125,961 and 28,570 is: 42,855

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974 : 125,961 = 28,570 : x
  2. Step 2: Convert to fraction form
    83,974/125,961 = 28,570/x
  3. Step 3: Cross multiply
    83,974x = 125,961 × 28,570
  4. Step 4: Simplify right side
    83,974x = 3,598,705,770
  5. Step 5: Solve for x
    x = 3,598,705,770/83,974
  6. Step 6: Final answer
    x = 42,855

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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.