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Finding the Fourth Proportional to 180,375.98, 270,565.77 and 80,541.23

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Solution

The fourth proportional to 180,375.98, 270,565.77 and 80,541.23 is: 120,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,375.98 : 270,565.77 = 80,541.23 : x
  2. Step 2: Convert to fraction form
    180,375.98/270,565.77 = 80,541.23/x
  3. Step 3: Cross multiply
    180,375.98x = 270,565.77 × 80,541.23
  4. Step 4: Simplify right side
    180,375.98x = 21,791,699,911.70
  5. Step 5: Solve for x
    x = 21,791,699,911.70/180,375.98
  6. Step 6: Final answer
    x = 120,812.65

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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.