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Finding the Fourth Proportional to 172,871.64, 259,326.90 and 54,507.96

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Solution

The fourth proportional to 172,871.64, 259,326.90 and 54,507.96 is: 81,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,871.64 : 259,326.90 = 54,507.96 : x
  2. Step 2: Convert to fraction form
    172,871.64/259,326.90 = 54,507.96/x
  3. Step 3: Cross multiply
    172,871.64x = 259,326.90 × 54,507.96
  4. Step 4: Simplify right side
    172,871.64x = 14,135,380,292.12
  5. Step 5: Solve for x
    x = 14,135,380,292.12/172,871.64
  6. Step 6: Final answer
    x = 81,768.07

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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.