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Finding the Fourth Proportional to 172,806.80, 258,772.80 and 137,814.80

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Solution

The fourth proportional to 172,806.80, 258,772.80 and 137,814.80 is: 206,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,806.80 : 258,772.80 = 137,814.80 : x
  2. Step 2: Convert to fraction form
    172,806.80/258,772.80 = 137,814.80/x
  3. Step 3: Cross multiply
    172,806.80x = 258,772.80 × 137,814.80
  4. Step 4: Simplify right side
    172,806.80x = 35,662,721,677.44
  5. Step 5: Solve for x
    x = 35,662,721,677.44/172,806.80
  6. Step 6: Final answer
    x = 206,373.37

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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.