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Finding the Fourth Proportional to 230,690, 318,371.64 and 130,107.44

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Solution

The fourth proportional to 230,690, 318,371.64 and 130,107.44 is: 179,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,690 : 318,371.64 = 130,107.44 : x
  2. Step 2: Convert to fraction form
    230,690/318,371.64 = 130,107.44/x
  3. Step 3: Cross multiply
    230,690x = 318,371.64 × 130,107.44
  4. Step 4: Simplify right side
    230,690x = 41,422,519,049.00
  5. Step 5: Solve for x
    x = 41,422,519,049.00/230,690
  6. Step 6: Final answer
    x = 179,559.23

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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.