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Finding the Fourth Proportional to 188,790, 283,185 and 57,462

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Solution

The fourth proportional to 188,790, 283,185 and 57,462 is: 86,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,790 : 283,185 = 57,462 : x
  2. Step 2: Convert to fraction form
    188,790/283,185 = 57,462/x
  3. Step 3: Cross multiply
    188,790x = 283,185 × 57,462
  4. Step 4: Simplify right side
    188,790x = 16,272,376,470
  5. Step 5: Solve for x
    x = 16,272,376,470/188,790
  6. Step 6: Final answer
    x = 86,193

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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.