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Finding the Fourth Proportional to 78,729.97, 108,649.41 and 48,535.24

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Solution

The fourth proportional to 78,729.97, 108,649.41 and 48,535.24 is: 66,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,729.97 : 108,649.41 = 48,535.24 : x
  2. Step 2: Convert to fraction form
    78,729.97/108,649.41 = 48,535.24/x
  3. Step 3: Cross multiply
    78,729.97x = 108,649.41 × 48,535.24
  4. Step 4: Simplify right side
    78,729.97x = 5,273,325,190.21
  5. Step 5: Solve for x
    x = 5,273,325,190.21/78,729.97
  6. Step 6: Final answer
    x = 66,979.90

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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.