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Finding the Fourth Proportional to 180,540, 270,810 and 49,212

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Solution

The fourth proportional to 180,540, 270,810 and 49,212 is: 73,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,540 : 270,810 = 49,212 : x
  2. Step 2: Convert to fraction form
    180,540/270,810 = 49,212/x
  3. Step 3: Cross multiply
    180,540x = 270,810 × 49,212
  4. Step 4: Simplify right side
    180,540x = 13,327,101,720
  5. Step 5: Solve for x
    x = 13,327,101,720/180,540
  6. Step 6: Final answer
    x = 73,818

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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.