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Finding the Fourth Proportional to 40,992, 56,517.12 and 30,363.84

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Solution

The fourth proportional to 40,992, 56,517.12 and 30,363.84 is: 41,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,992 : 56,517.12 = 30,363.84 : x
  2. Step 2: Convert to fraction form
    40,992/56,517.12 = 30,363.84/x
  3. Step 3: Cross multiply
    40,992x = 56,517.12 × 30,363.84
  4. Step 4: Simplify right side
    40,992x = 1,716,076,788.94
  5. Step 5: Solve for x
    x = 1,716,076,788.94/40,992
  6. Step 6: Final answer
    x = 41,863.70

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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.