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Finding the Fourth Proportional to 172,939.40, 259,409.10 and 102,782.60

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Solution

The fourth proportional to 172,939.40, 259,409.10 and 102,782.60 is: 154,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,939.40 : 259,409.10 = 102,782.60 : x
  2. Step 2: Convert to fraction form
    172,939.40/259,409.10 = 102,782.60/x
  3. Step 3: Cross multiply
    172,939.40x = 259,409.10 × 102,782.60
  4. Step 4: Simplify right side
    172,939.40x = 26,662,741,761.66
  5. Step 5: Solve for x
    x = 26,662,741,761.66/172,939.40
  6. Step 6: Final answer
    x = 154,173.90

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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.