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Finding the Fourth Proportional to 180,108, 270,077.13 and 105,249.69

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Solution

The fourth proportional to 180,108, 270,077.13 and 105,249.69 is: 157,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,108 : 270,077.13 = 105,249.69 : x
  2. Step 2: Convert to fraction form
    180,108/270,077.13 = 105,249.69/x
  3. Step 3: Cross multiply
    180,108x = 270,077.13 × 105,249.69
  4. Step 4: Simplify right side
    180,108x = 28,425,534,208.59
  5. Step 5: Solve for x
    x = 28,425,534,208.59/180,108
  6. Step 6: Final answer
    x = 157,824.94

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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.