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Finding the Fourth Proportional to 120,028.49, 165,637.38 and 65,579.49

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Solution

The fourth proportional to 120,028.49, 165,637.38 and 65,579.49 is: 90,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,028.49 : 165,637.38 = 65,579.49 : x
  2. Step 2: Convert to fraction form
    120,028.49/165,637.38 = 65,579.49/x
  3. Step 3: Cross multiply
    120,028.49x = 165,637.38 × 65,579.49
  4. Step 4: Simplify right side
    120,028.49x = 10,862,414,964.05
  5. Step 5: Solve for x
    x = 10,862,414,964.05/120,028.49
  6. Step 6: Final answer
    x = 90,498.64

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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.