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Finding the Fourth Proportional to 71,195.64, 98,247.57 and 40,976.78

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Solution

The fourth proportional to 71,195.64, 98,247.57 and 40,976.78 is: 56,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,195.64 : 98,247.57 = 40,976.78 : x
  2. Step 2: Convert to fraction form
    71,195.64/98,247.57 = 40,976.78/x
  3. Step 3: Cross multiply
    71,195.64x = 98,247.57 × 40,976.78
  4. Step 4: Simplify right side
    71,195.64x = 4,025,868,570.19
  5. Step 5: Solve for x
    x = 4,025,868,570.19/71,195.64
  6. Step 6: Final answer
    x = 56,546.56

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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.