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Finding the Fourth Proportional to 83,486.80, 125,230.20 and 21,157.30

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Solution

The fourth proportional to 83,486.80, 125,230.20 and 21,157.30 is: 31,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486.80 : 125,230.20 = 21,157.30 : x
  2. Step 2: Convert to fraction form
    83,486.80/125,230.20 = 21,157.30/x
  3. Step 3: Cross multiply
    83,486.80x = 125,230.20 × 21,157.30
  4. Step 4: Simplify right side
    83,486.80x = 2,649,532,910.46
  5. Step 5: Solve for x
    x = 2,649,532,910.46/83,486.80
  6. Step 6: Final answer
    x = 31,735.95

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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.