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Finding the Fourth Proportional to 230,986, 318,760.68 and 125,002

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Solution

The fourth proportional to 230,986, 318,760.68 and 125,002 is: 172,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,986 : 318,760.68 = 125,002 : x
  2. Step 2: Convert to fraction form
    230,986/318,760.68 = 125,002/x
  3. Step 3: Cross multiply
    230,986x = 318,760.68 × 125,002
  4. Step 4: Simplify right side
    230,986x = 39,845,722,521.36
  5. Step 5: Solve for x
    x = 39,845,722,521.36/230,986
  6. Step 6: Final answer
    x = 172,502.76

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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.