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Finding the Fourth Proportional to 120,083.46, 165,712.80 and 66,367.32

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Solution

The fourth proportional to 120,083.46, 165,712.80 and 66,367.32 is: 91,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.46 : 165,712.80 = 66,367.32 : x
  2. Step 2: Convert to fraction form
    120,083.46/165,712.80 = 66,367.32/x
  3. Step 3: Cross multiply
    120,083.46x = 165,712.80 × 66,367.32
  4. Step 4: Simplify right side
    120,083.46x = 10,997,914,425.70
  5. Step 5: Solve for x
    x = 10,997,914,425.70/120,083.46
  6. Step 6: Final answer
    x = 91,585.59

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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.