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Finding the Fourth Proportional to 120,859.20, 181,287.90 and 36,619.20

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Solution

The fourth proportional to 120,859.20, 181,287.90 and 36,619.20 is: 54,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.20 : 181,287.90 = 36,619.20 : x
  2. Step 2: Convert to fraction form
    120,859.20/181,287.90 = 36,619.20/x
  3. Step 3: Cross multiply
    120,859.20x = 181,287.90 × 36,619.20
  4. Step 4: Simplify right side
    120,859.20x = 6,638,617,867.68
  5. Step 5: Solve for x
    x = 6,638,617,867.68/120,859.20
  6. Step 6: Final answer
    x = 54,928.53

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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.