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Finding the Fourth Proportional to 80,957, 111,735.24 and 47,423

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Solution

The fourth proportional to 80,957, 111,735.24 and 47,423 is: 65,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,957 : 111,735.24 = 47,423 : x
  2. Step 2: Convert to fraction form
    80,957/111,735.24 = 47,423/x
  3. Step 3: Cross multiply
    80,957x = 111,735.24 × 47,423
  4. Step 4: Simplify right side
    80,957x = 5,298,820,286.52
  5. Step 5: Solve for x
    x = 5,298,820,286.52/80,957
  6. Step 6: Final answer
    x = 65,452.28

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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.