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Finding the Fourth Proportional to 120,288, 165,997.44 and 70,020.48

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Solution

The fourth proportional to 120,288, 165,997.44 and 70,020.48 is: 96,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,288 : 165,997.44 = 70,020.48 : x
  2. Step 2: Convert to fraction form
    120,288/165,997.44 = 70,020.48/x
  3. Step 3: Cross multiply
    120,288x = 165,997.44 × 70,020.48
  4. Step 4: Simplify right side
    120,288x = 11,623,220,427.57
  5. Step 5: Solve for x
    x = 11,623,220,427.57/120,288
  6. Step 6: Final answer
    x = 96,628.26

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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.