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Finding the Fourth Proportional to 67,782, 93,539.16 and 41,286

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Solution

The fourth proportional to 67,782, 93,539.16 and 41,286 is: 56,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782 : 93,539.16 = 41,286 : x
  2. Step 2: Convert to fraction form
    67,782/93,539.16 = 41,286/x
  3. Step 3: Cross multiply
    67,782x = 93,539.16 × 41,286
  4. Step 4: Simplify right side
    67,782x = 3,861,857,759.76
  5. Step 5: Solve for x
    x = 3,861,857,759.76/67,782
  6. Step 6: Final answer
    x = 56,974.68

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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.