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Finding the Fourth Proportional to 180,340.78, 270,458.28 and 67,939.90

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Solution

The fourth proportional to 180,340.78, 270,458.28 and 67,939.90 is: 101,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,340.78 : 270,458.28 = 67,939.90 : x
  2. Step 2: Convert to fraction form
    180,340.78/270,458.28 = 67,939.90/x
  3. Step 3: Cross multiply
    180,340.78x = 270,458.28 × 67,939.90
  4. Step 4: Simplify right side
    180,340.78x = 18,374,908,497.37
  5. Step 5: Solve for x
    x = 18,374,908,497.37/180,340.78
  6. Step 6: Final answer
    x = 101,889.92

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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.