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Finding the Fourth Proportional to 70,652, 105,839.48 and 41,007.68

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Solution

The fourth proportional to 70,652, 105,839.48 and 41,007.68 is: 61,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652 : 105,839.48 = 41,007.68 : x
  2. Step 2: Convert to fraction form
    70,652/105,839.48 = 41,007.68/x
  3. Step 3: Cross multiply
    70,652x = 105,839.48 × 41,007.68
  4. Step 4: Simplify right side
    70,652x = 4,340,231,527.21
  5. Step 5: Solve for x
    x = 4,340,231,527.21/70,652
  6. Step 6: Final answer
    x = 61,431.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.