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Finding the Fourth Proportional to 180,814.90, 270,963.15 and 133,057.30

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Solution

The fourth proportional to 180,814.90, 270,963.15 and 133,057.30 is: 199,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,814.90 : 270,963.15 = 133,057.30 : x
  2. Step 2: Convert to fraction form
    180,814.90/270,963.15 = 133,057.30/x
  3. Step 3: Cross multiply
    180,814.90x = 270,963.15 × 133,057.30
  4. Step 4: Simplify right side
    180,814.90x = 36,053,625,138.50
  5. Step 5: Solve for x
    x = 36,053,625,138.50/180,814.90
  6. Step 6: Final answer
    x = 199,395.21

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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.