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Finding the Fourth Proportional to 120,291.29, 165,996.86 and 66,571.28

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Solution

The fourth proportional to 120,291.29, 165,996.86 and 66,571.28 is: 91,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,291.29 : 165,996.86 = 66,571.28 : x
  2. Step 2: Convert to fraction form
    120,291.29/165,996.86 = 66,571.28/x
  3. Step 3: Cross multiply
    120,291.29x = 165,996.86 × 66,571.28
  4. Step 4: Simplify right side
    120,291.29x = 11,050,623,446.18
  5. Step 5: Solve for x
    x = 11,050,623,446.18/120,291.29
  6. Step 6: Final answer
    x = 91,865.53

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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.