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Finding the Fourth Proportional to 180,640.94, 270,999.45 and 68,318.65

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Solution

The fourth proportional to 180,640.94, 270,999.45 and 68,318.65 is: 102,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,640.94 : 270,999.45 = 68,318.65 : x
  2. Step 2: Convert to fraction form
    180,640.94/270,999.45 = 68,318.65/x
  3. Step 3: Cross multiply
    180,640.94x = 270,999.45 × 68,318.65
  4. Step 4: Simplify right side
    180,640.94x = 18,514,315,897.24
  5. Step 5: Solve for x
    x = 18,514,315,897.24/180,640.94
  6. Step 6: Final answer
    x = 102,492.36

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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.