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Finding the Fourth Proportional to 137,257.88, 205,717.26 and 81,041

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Solution

The fourth proportional to 137,257.88, 205,717.26 and 81,041 is: 121,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257.88 : 205,717.26 = 81,041 : x
  2. Step 2: Convert to fraction form
    137,257.88/205,717.26 = 81,041/x
  3. Step 3: Cross multiply
    137,257.88x = 205,717.26 × 81,041
  4. Step 4: Simplify right side
    137,257.88x = 16,671,532,467.66
  5. Step 5: Solve for x
    x = 16,671,532,467.66/137,257.88
  6. Step 6: Final answer
    x = 121,461.39

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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.