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Finding the Fourth Proportional to 72,241, 99,697 and 40,412.04

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Solution

The fourth proportional to 72,241, 99,697 and 40,412.04 is: 55,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,241 : 99,697 = 40,412.04 : x
  2. Step 2: Convert to fraction form
    72,241/99,697 = 40,412.04/x
  3. Step 3: Cross multiply
    72,241x = 99,697 × 40,412.04
  4. Step 4: Simplify right side
    72,241x = 4,028,959,151.88
  5. Step 5: Solve for x
    x = 4,028,959,151.88/72,241
  6. Step 6: Final answer
    x = 55,771.09

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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.