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Finding the Fourth Proportional to 83,786, 125,679 and 21,456.52

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Solution

The fourth proportional to 83,786, 125,679 and 21,456.52 is: 32,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,786 : 125,679 = 21,456.52 : x
  2. Step 2: Convert to fraction form
    83,786/125,679 = 21,456.52/x
  3. Step 3: Cross multiply
    83,786x = 125,679 × 21,456.52
  4. Step 4: Simplify right side
    83,786x = 2,696,633,977.08
  5. Step 5: Solve for x
    x = 2,696,633,977.08/83,786
  6. Step 6: Final answer
    x = 32,184.78

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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.