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Finding the Fourth Proportional to 81,775.20, 122,662.80 and 25,615.78

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Solution

The fourth proportional to 81,775.20, 122,662.80 and 25,615.78 is: 38,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,775.20 : 122,662.80 = 25,615.78 : x
  2. Step 2: Convert to fraction form
    81,775.20/122,662.80 = 25,615.78/x
  3. Step 3: Cross multiply
    81,775.20x = 122,662.80 × 25,615.78
  4. Step 4: Simplify right side
    81,775.20x = 3,142,103,298.98
  5. Step 5: Solve for x
    x = 3,142,103,298.98/81,775.20
  6. Step 6: Final answer
    x = 38,423.67

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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.