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Finding the Fourth Proportional to 80,800, 111,512.64 and 47,294.08

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Solution

The fourth proportional to 80,800, 111,512.64 and 47,294.08 is: 65,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,800 : 111,512.64 = 47,294.08 : x
  2. Step 2: Convert to fraction form
    80,800/111,512.64 = 47,294.08/x
  3. Step 3: Cross multiply
    80,800x = 111,512.64 × 47,294.08
  4. Step 4: Simplify right side
    80,800x = 5,273,887,717.17
  5. Step 5: Solve for x
    x = 5,273,887,717.17/80,800
  6. Step 6: Final answer
    x = 65,270.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.