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Finding the Fourth Proportional to 187,893.75, 259,429.46 and 120,942.39

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Solution

The fourth proportional to 187,893.75, 259,429.46 and 120,942.39 is: 166,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,893.75 : 259,429.46 = 120,942.39 : x
  2. Step 2: Convert to fraction form
    187,893.75/259,429.46 = 120,942.39/x
  3. Step 3: Cross multiply
    187,893.75x = 259,429.46 × 120,942.39
  4. Step 4: Simplify right side
    187,893.75x = 31,376,018,324.10
  5. Step 5: Solve for x
    x = 31,376,018,324.10/187,893.75
  6. Step 6: Final answer
    x = 166,988.09

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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.