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Finding the Fourth Proportional to 83,980, 125,982.96 and 31,396.96

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Solution

The fourth proportional to 83,980, 125,982.96 and 31,396.96 is: 47,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980 : 125,982.96 = 31,396.96 : x
  2. Step 2: Convert to fraction form
    83,980/125,982.96 = 31,396.96/x
  3. Step 3: Cross multiply
    83,980x = 125,982.96 × 31,396.96
  4. Step 4: Simplify right side
    83,980x = 3,955,481,955.80
  5. Step 5: Solve for x
    x = 3,955,481,955.80/83,980
  6. Step 6: Final answer
    x = 47,100.29

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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.