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Finding the Fourth Proportional to 180,911.88, 271,294.92 and 54,513

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Solution

The fourth proportional to 180,911.88, 271,294.92 and 54,513 is: 81,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,911.88 : 271,294.92 = 54,513 : x
  2. Step 2: Convert to fraction form
    180,911.88/271,294.92 = 54,513/x
  3. Step 3: Cross multiply
    180,911.88x = 271,294.92 × 54,513
  4. Step 4: Simplify right side
    180,911.88x = 14,789,099,973.96
  5. Step 5: Solve for x
    x = 14,789,099,973.96/180,911.88
  6. Step 6: Final answer
    x = 81,747.53

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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.