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Finding the Fourth Proportional to 180,392.73, 270,590.91 and 80,557.98

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Solution

The fourth proportional to 180,392.73, 270,590.91 and 80,557.98 is: 120,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,392.73 : 270,590.91 = 80,557.98 : x
  2. Step 2: Convert to fraction form
    180,392.73/270,590.91 = 80,557.98/x
  3. Step 3: Cross multiply
    180,392.73x = 270,590.91 × 80,557.98
  4. Step 4: Simplify right side
    180,392.73x = 21,798,257,115.96
  5. Step 5: Solve for x
    x = 21,798,257,115.96/180,392.73
  6. Step 6: Final answer
    x = 120,837.78

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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.