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Finding the Fourth Proportional to 172,846.80, 259,270.20 and 137,854.80

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Solution

The fourth proportional to 172,846.80, 259,270.20 and 137,854.80 is: 206,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846.80 : 259,270.20 = 137,854.80 : x
  2. Step 2: Convert to fraction form
    172,846.80/259,270.20 = 137,854.80/x
  3. Step 3: Cross multiply
    172,846.80x = 259,270.20 × 137,854.80
  4. Step 4: Simplify right side
    172,846.80x = 35,741,641,566.96
  5. Step 5: Solve for x
    x = 35,741,641,566.96/172,846.80
  6. Step 6: Final answer
    x = 206,782.20

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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.