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Finding the Fourth Proportional to 172,718.26, 259,086.64 and 54,398.82

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Solution

The fourth proportional to 172,718.26, 259,086.64 and 54,398.82 is: 81,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,718.26 : 259,086.64 = 54,398.82 : x
  2. Step 2: Convert to fraction form
    172,718.26/259,086.64 = 54,398.82/x
  3. Step 3: Cross multiply
    172,718.26x = 259,086.64 × 54,398.82
  4. Step 4: Simplify right side
    172,718.26x = 14,094,007,493.76
  5. Step 5: Solve for x
    x = 14,094,007,493.76/172,718.26
  6. Step 6: Final answer
    x = 81,601.14

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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.