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Finding the Fourth Proportional to 81,765.20, 122,647.80 and 25,609.70

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Solution

The fourth proportional to 81,765.20, 122,647.80 and 25,609.70 is: 38,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765.20 : 122,647.80 = 25,609.70 : x
  2. Step 2: Convert to fraction form
    81,765.20/122,647.80 = 25,609.70/x
  3. Step 3: Cross multiply
    81,765.20x = 122,647.80 × 25,609.70
  4. Step 4: Simplify right side
    81,765.20x = 3,140,973,363.66
  5. Step 5: Solve for x
    x = 3,140,973,363.66/81,765.20
  6. Step 6: Final answer
    x = 38,414.55

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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.