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Finding the Fourth Proportional to 180,076.73, 270,284.58 and 91,393.88

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Solution

The fourth proportional to 180,076.73, 270,284.58 and 91,393.88 is: 137,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,076.73 : 270,284.58 = 91,393.88 : x
  2. Step 2: Convert to fraction form
    180,076.73/270,284.58 = 91,393.88/x
  3. Step 3: Cross multiply
    180,076.73x = 270,284.58 × 91,393.88
  4. Step 4: Simplify right side
    180,076.73x = 24,702,355,118.95
  5. Step 5: Solve for x
    x = 24,702,355,118.95/180,076.73
  6. Step 6: Final answer
    x = 137,176.83

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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.