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Finding the Fourth Proportional to 172,984.27, 259,474.84 and 54,655.60

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Solution

The fourth proportional to 172,984.27, 259,474.84 and 54,655.60 is: 81,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,984.27 : 259,474.84 = 54,655.60 : x
  2. Step 2: Convert to fraction form
    172,984.27/259,474.84 = 54,655.60/x
  3. Step 3: Cross multiply
    172,984.27x = 259,474.84 × 54,655.60
  4. Step 4: Simplify right side
    172,984.27x = 14,181,752,279.78
  5. Step 5: Solve for x
    x = 14,181,752,279.78/172,984.27
  6. Step 6: Final answer
    x = 81,982.90

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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.