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Finding the Fourth Proportional to 180,327.51, 270,515.88 and 75,121.88

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Solution

The fourth proportional to 180,327.51, 270,515.88 and 75,121.88 is: 112,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,327.51 : 270,515.88 = 75,121.88 : x
  2. Step 2: Convert to fraction form
    180,327.51/270,515.88 = 75,121.88/x
  3. Step 3: Cross multiply
    180,327.51x = 270,515.88 × 75,121.88
  4. Step 4: Simplify right side
    180,327.51x = 20,321,660,122.88
  5. Step 5: Solve for x
    x = 20,321,660,122.88/180,327.51
  6. Step 6: Final answer
    x = 112,693.07

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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.