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Finding the Fourth Proportional to 83,389, 125,063.82 and 27,214.60

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Solution

The fourth proportional to 83,389, 125,063.82 and 27,214.60 is: 40,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,389 : 125,063.82 = 27,214.60 : x
  2. Step 2: Convert to fraction form
    83,389/125,063.82 = 27,214.60/x
  3. Step 3: Cross multiply
    83,389x = 125,063.82 × 27,214.60
  4. Step 4: Simplify right side
    83,389x = 3,403,561,835.77
  5. Step 5: Solve for x
    x = 3,403,561,835.77/83,389
  6. Step 6: Final answer
    x = 40,815.48

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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.