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Finding the Fourth Proportional to 172,995.68, 259,471.20 and 54,678.98

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Solution

The fourth proportional to 172,995.68, 259,471.20 and 54,678.98 is: 82,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,995.68 : 259,471.20 = 54,678.98 : x
  2. Step 2: Convert to fraction form
    172,995.68/259,471.20 = 54,678.98/x
  3. Step 3: Cross multiply
    172,995.68x = 259,471.20 × 54,678.98
  4. Step 4: Simplify right side
    172,995.68x = 14,187,620,555.38
  5. Step 5: Solve for x
    x = 14,187,620,555.38/172,995.68
  6. Step 6: Final answer
    x = 82,011.42

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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.