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Finding the Fourth Proportional to 81,765.64, 122,644.96 and 25,604.51

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Solution

The fourth proportional to 81,765.64, 122,644.96 and 25,604.51 is: 38,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765.64 : 122,644.96 = 25,604.51 : x
  2. Step 2: Convert to fraction form
    81,765.64/122,644.96 = 25,604.51/x
  3. Step 3: Cross multiply
    81,765.64x = 122,644.96 × 25,604.51
  4. Step 4: Simplify right side
    81,765.64x = 3,140,263,427.53
  5. Step 5: Solve for x
    x = 3,140,263,427.53/81,765.64
  6. Step 6: Final answer
    x = 38,405.66

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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.