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Finding the Fourth Proportional to 120,850.40, 181,275.60 and 102,965.60

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Solution

The fourth proportional to 120,850.40, 181,275.60 and 102,965.60 is: 154,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,850.40 : 181,275.60 = 102,965.60 : x
  2. Step 2: Convert to fraction form
    120,850.40/181,275.60 = 102,965.60/x
  3. Step 3: Cross multiply
    120,850.40x = 181,275.60 × 102,965.60
  4. Step 4: Simplify right side
    120,850.40x = 18,665,150,919.36
  5. Step 5: Solve for x
    x = 18,665,150,919.36/120,850.40
  6. Step 6: Final answer
    x = 154,448.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.