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Finding the Fourth Proportional to 81,909.36, 122,863.95 and 25,754.37

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Solution

The fourth proportional to 81,909.36, 122,863.95 and 25,754.37 is: 38,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.36 : 122,863.95 = 25,754.37 : x
  2. Step 2: Convert to fraction form
    81,909.36/122,863.95 = 25,754.37/x
  3. Step 3: Cross multiply
    81,909.36x = 122,863.95 × 25,754.37
  4. Step 4: Simplify right side
    81,909.36x = 3,164,283,627.96
  5. Step 5: Solve for x
    x = 3,164,283,627.96/81,909.36
  6. Step 6: Final answer
    x = 38,631.53

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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.