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Finding the Fourth Proportional to 72,827.84, 100,504.30 and 40,997.88

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Solution

The fourth proportional to 72,827.84, 100,504.30 and 40,997.88 is: 56,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,827.84 : 100,504.30 = 40,997.88 : x
  2. Step 2: Convert to fraction form
    72,827.84/100,504.30 = 40,997.88/x
  3. Step 3: Cross multiply
    72,827.84x = 100,504.30 × 40,997.88
  4. Step 4: Simplify right side
    72,827.84x = 4,120,463,230.88
  5. Step 5: Solve for x
    x = 4,120,463,230.88/72,827.84
  6. Step 6: Final answer
    x = 56,578.13

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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.