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Finding the Fourth Proportional to 172,815.98, 259,223.97 and 54,499.28

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Solution

The fourth proportional to 172,815.98, 259,223.97 and 54,499.28 is: 81,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,815.98 : 259,223.97 = 54,499.28 : x
  2. Step 2: Convert to fraction form
    172,815.98/259,223.97 = 54,499.28/x
  3. Step 3: Cross multiply
    172,815.98x = 259,223.97 × 54,499.28
  4. Step 4: Simplify right side
    172,815.98x = 14,127,519,936.85
  5. Step 5: Solve for x
    x = 14,127,519,936.85/172,815.98
  6. Step 6: Final answer
    x = 81,748.92

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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.