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Finding the Fourth Proportional to 180,784.85, 271,180.11 and 68,434.89

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Solution

The fourth proportional to 180,784.85, 271,180.11 and 68,434.89 is: 102,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,784.85 : 271,180.11 = 68,434.89 : x
  2. Step 2: Convert to fraction form
    180,784.85/271,180.11 = 68,434.89/x
  3. Step 3: Cross multiply
    180,784.85x = 271,180.11 × 68,434.89
  4. Step 4: Simplify right side
    180,784.85x = 18,558,180,998.04
  5. Step 5: Solve for x
    x = 18,558,180,998.04/180,784.85
  6. Step 6: Final answer
    x = 102,653.41

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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.