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Finding the Fourth Proportional to 120,083.54, 165,735.44 and 81,303.77

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Solution

The fourth proportional to 120,083.54, 165,735.44 and 81,303.77 is: 112,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.54 : 165,735.44 = 81,303.77 : x
  2. Step 2: Convert to fraction form
    120,083.54/165,735.44 = 81,303.77/x
  3. Step 3: Cross multiply
    120,083.54x = 165,735.44 × 81,303.77
  4. Step 4: Simplify right side
    120,083.54x = 13,474,914,859.41
  5. Step 5: Solve for x
    x = 13,474,914,859.41/120,083.54
  6. Step 6: Final answer
    x = 112,212.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.