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Finding the Fourth Proportional to 172,803.80, 258,768.30 and 137,811.80

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Solution

The fourth proportional to 172,803.80, 258,768.30 and 137,811.80 is: 206,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,803.80 : 258,768.30 = 137,811.80 : x
  2. Step 2: Convert to fraction form
    172,803.80/258,768.30 = 137,811.80/x
  3. Step 3: Cross multiply
    172,803.80x = 258,768.30 × 137,811.80
  4. Step 4: Simplify right side
    172,803.80x = 35,661,325,205.94
  5. Step 5: Solve for x
    x = 35,661,325,205.94/172,803.80
  6. Step 6: Final answer
    x = 206,368.87

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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.