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Finding the Fourth Proportional to 72,346.81, 99,839.30 and 40,082.12

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Solution

The fourth proportional to 72,346.81, 99,839.30 and 40,082.12 is: 55,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,346.81 : 99,839.30 = 40,082.12 : x
  2. Step 2: Convert to fraction form
    72,346.81/99,839.30 = 40,082.12/x
  3. Step 3: Cross multiply
    72,346.81x = 99,839.30 × 40,082.12
  4. Step 4: Simplify right side
    72,346.81x = 4,001,770,304.12
  5. Step 5: Solve for x
    x = 4,001,770,304.12/72,346.81
  6. Step 6: Final answer
    x = 55,313.71

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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.