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Finding the Fourth Proportional to 81,774.70, 122,662.04 and 25,615.28

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Solution

The fourth proportional to 81,774.70, 122,662.04 and 25,615.28 is: 38,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774.70 : 122,662.04 = 25,615.28 : x
  2. Step 2: Convert to fraction form
    81,774.70/122,662.04 = 25,615.28/x
  3. Step 3: Cross multiply
    81,774.70x = 122,662.04 × 25,615.28
  4. Step 4: Simplify right side
    81,774.70x = 3,142,022,499.97
  5. Step 5: Solve for x
    x = 3,142,022,499.97/81,774.70
  6. Step 6: Final answer
    x = 38,422.92

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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.