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Finding the Fourth Proportional to 180,574.82, 270,972.95 and 80,819.37

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Solution

The fourth proportional to 180,574.82, 270,972.95 and 80,819.37 is: 121,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,574.82 : 270,972.95 = 80,819.37 : x
  2. Step 2: Convert to fraction form
    180,574.82/270,972.95 = 80,819.37/x
  3. Step 3: Cross multiply
    180,574.82x = 270,972.95 × 80,819.37
  4. Step 4: Simplify right side
    180,574.82x = 21,899,862,701.94
  5. Step 5: Solve for x
    x = 21,899,862,701.94/180,574.82
  6. Step 6: Final answer
    x = 121,278.61

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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.