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Finding the Fourth Proportional to 67,311.92, 92,874.12 and 40,475

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Solution

The fourth proportional to 67,311.92, 92,874.12 and 40,475 is: 55,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,311.92 : 92,874.12 = 40,475 : x
  2. Step 2: Convert to fraction form
    67,311.92/92,874.12 = 40,475/x
  3. Step 3: Cross multiply
    67,311.92x = 92,874.12 × 40,475
  4. Step 4: Simplify right side
    67,311.92x = 3,759,080,007
  5. Step 5: Solve for x
    x = 3,759,080,007/67,311.92
  6. Step 6: Final answer
    x = 55,845.68

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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.