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Finding the Fourth Proportional to 172,864, 259,296 and 56,128

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Solution

The fourth proportional to 172,864, 259,296 and 56,128 is: 84,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,864 : 259,296 = 56,128 : x
  2. Step 2: Convert to fraction form
    172,864/259,296 = 56,128/x
  3. Step 3: Cross multiply
    172,864x = 259,296 × 56,128
  4. Step 4: Simplify right side
    172,864x = 14,553,765,888
  5. Step 5: Solve for x
    x = 14,553,765,888/172,864
  6. Step 6: Final answer
    x = 84,192

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.