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Finding the Fourth Proportional to 137,255.88, 205,714.26 and 81,039

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Solution

The fourth proportional to 137,255.88, 205,714.26 and 81,039 is: 121,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,255.88 : 205,714.26 = 81,039 : x
  2. Step 2: Convert to fraction form
    137,255.88/205,714.26 = 81,039/x
  3. Step 3: Cross multiply
    137,255.88x = 205,714.26 × 81,039
  4. Step 4: Simplify right side
    137,255.88x = 16,670,877,916.14
  5. Step 5: Solve for x
    x = 16,670,877,916.14/137,255.88
  6. Step 6: Final answer
    x = 121,458.39

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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.