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Finding the Fourth Proportional to 172,866.56, 258,953.96 and 137,387.75

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Solution

The fourth proportional to 172,866.56, 258,953.96 and 137,387.75 is: 205,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,866.56 : 258,953.96 = 137,387.75 : x
  2. Step 2: Convert to fraction form
    172,866.56/258,953.96 = 137,387.75/x
  3. Step 3: Cross multiply
    172,866.56x = 258,953.96 × 137,387.75
  4. Step 4: Simplify right side
    172,866.56x = 35,577,100,966.69
  5. Step 5: Solve for x
    x = 35,577,100,966.69/172,866.56
  6. Step 6: Final answer
    x = 205,806.73

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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.