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Finding the Fourth Proportional to 187,644.50, 258,950.22 and 120,576.50

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Solution

The fourth proportional to 187,644.50, 258,950.22 and 120,576.50 is: 166,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,644.50 : 258,950.22 = 120,576.50 : x
  2. Step 2: Convert to fraction form
    187,644.50/258,950.22 = 120,576.50/x
  3. Step 3: Cross multiply
    187,644.50x = 258,950.22 × 120,576.50
  4. Step 4: Simplify right side
    187,644.50x = 31,223,311,201.83
  5. Step 5: Solve for x
    x = 31,223,311,201.83/187,644.50
  6. Step 6: Final answer
    x = 166,396.09

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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.