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Finding the Fourth Proportional to 83,615.68, 125,430.54 and 21,286

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Solution

The fourth proportional to 83,615.68, 125,430.54 and 21,286 is: 31,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,615.68 : 125,430.54 = 21,286 : x
  2. Step 2: Convert to fraction form
    83,615.68/125,430.54 = 21,286/x
  3. Step 3: Cross multiply
    83,615.68x = 125,430.54 × 21,286
  4. Step 4: Simplify right side
    83,615.68x = 2,669,914,474.44
  5. Step 5: Solve for x
    x = 2,669,914,474.44/83,615.68
  6. Step 6: Final answer
    x = 31,930.79

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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.