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Finding the Fourth Proportional to 172,996.68, 259,472.70 and 54,679.98

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Solution

The fourth proportional to 172,996.68, 259,472.70 and 54,679.98 is: 82,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,996.68 : 259,472.70 = 54,679.98 : x
  2. Step 2: Convert to fraction form
    172,996.68/259,472.70 = 54,679.98/x
  3. Step 3: Cross multiply
    172,996.68x = 259,472.70 × 54,679.98
  4. Step 4: Simplify right side
    172,996.68x = 14,187,962,046.55
  5. Step 5: Solve for x
    x = 14,187,962,046.55/172,996.68
  6. Step 6: Final answer
    x = 82,012.92

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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.