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Finding the Fourth Proportional to 172,558.74, 258,493.50 and 137,080.13

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Solution

The fourth proportional to 172,558.74, 258,493.50 and 137,080.13 is: 205,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,558.74 : 258,493.50 = 137,080.13 : x
  2. Step 2: Convert to fraction form
    172,558.74/258,493.50 = 137,080.13/x
  3. Step 3: Cross multiply
    172,558.74x = 258,493.50 × 137,080.13
  4. Step 4: Simplify right side
    172,558.74x = 35,434,321,291.69
  5. Step 5: Solve for x
    x = 35,434,321,291.69/172,558.74
  6. Step 6: Final answer
    x = 205,346.43

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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.