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Finding the Fourth Proportional to 172,390.70, 258,032 and 92,228.64

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Solution

The fourth proportional to 172,390.70, 258,032 and 92,228.64 is: 138,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,390.70 : 258,032 = 92,228.64 : x
  2. Step 2: Convert to fraction form
    172,390.70/258,032 = 92,228.64/x
  3. Step 3: Cross multiply
    172,390.70x = 258,032 × 92,228.64
  4. Step 4: Simplify right side
    172,390.70x = 23,797,940,436.48
  5. Step 5: Solve for x
    x = 23,797,940,436.48/172,390.70
  6. Step 6: Final answer
    x = 138,046.54

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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.