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Finding the Fourth Proportional to 180,687.69, 270,835.81 and 80,710.20

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Solution

The fourth proportional to 180,687.69, 270,835.81 and 80,710.20 is: 120,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,687.69 : 270,835.81 = 80,710.20 : x
  2. Step 2: Convert to fraction form
    180,687.69/270,835.81 = 80,710.20/x
  3. Step 3: Cross multiply
    180,687.69x = 270,835.81 × 80,710.20
  4. Step 4: Simplify right side
    180,687.69x = 21,859,212,392.26
  5. Step 5: Solve for x
    x = 21,859,212,392.26/180,687.69
  6. Step 6: Final answer
    x = 120,977.87

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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.