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Finding the Fourth Proportional to 180,391.48, 270,511.12 and 54,049.68

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Solution

The fourth proportional to 180,391.48, 270,511.12 and 54,049.68 is: 81,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,391.48 : 270,511.12 = 54,049.68 : x
  2. Step 2: Convert to fraction form
    180,391.48/270,511.12 = 54,049.68/x
  3. Step 3: Cross multiply
    180,391.48x = 270,511.12 × 54,049.68
  4. Step 4: Simplify right side
    180,391.48x = 14,621,039,472.44
  5. Step 5: Solve for x
    x = 14,621,039,472.44/180,391.48
  6. Step 6: Final answer
    x = 81,051.72

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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.