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Finding the Fourth Proportional to 137,076.98, 205,387.65 and 131,893.79

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Solution

The fourth proportional to 137,076.98, 205,387.65 and 131,893.79 is: 197,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076.98 : 205,387.65 = 131,893.79 : x
  2. Step 2: Convert to fraction form
    137,076.98/205,387.65 = 131,893.79/x
  3. Step 3: Cross multiply
    137,076.98x = 205,387.65 × 131,893.79
  4. Step 4: Simplify right side
    137,076.98x = 27,089,354,550.76
  5. Step 5: Solve for x
    x = 27,089,354,550.76/137,076.98
  6. Step 6: Final answer
    x = 197,621.48

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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.