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Finding the Fourth Proportional to 180,679.10, 271,081.54 and 80,849.84

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Solution

The fourth proportional to 180,679.10, 271,081.54 and 80,849.84 is: 121,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,679.10 : 271,081.54 = 80,849.84 : x
  2. Step 2: Convert to fraction form
    180,679.10/271,081.54 = 80,849.84/x
  3. Step 3: Cross multiply
    180,679.10x = 271,081.54 × 80,849.84
  4. Step 4: Simplify right side
    180,679.10x = 21,916,899,135.95
  5. Step 5: Solve for x
    x = 21,916,899,135.95/180,679.10
  6. Step 6: Final answer
    x = 121,302.90

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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.