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Finding the Fourth Proportional to 83,991, 125,999.46 and 31,407.96

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Solution

The fourth proportional to 83,991, 125,999.46 and 31,407.96 is: 47,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991 : 125,999.46 = 31,407.96 : x
  2. Step 2: Convert to fraction form
    83,991/125,999.46 = 31,407.96/x
  3. Step 3: Cross multiply
    83,991x = 125,999.46 × 31,407.96
  4. Step 4: Simplify right side
    83,991x = 3,957,385,999.70
  5. Step 5: Solve for x
    x = 3,957,385,999.70/83,991
  6. Step 6: Final answer
    x = 47,116.79

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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.