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Finding the Fourth Proportional to 137,249.92, 205,908.20 and 43,755.60

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Solution

The fourth proportional to 137,249.92, 205,908.20 and 43,755.60 is: 65,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,249.92 : 205,908.20 = 43,755.60 : x
  2. Step 2: Convert to fraction form
    137,249.92/205,908.20 = 43,755.60/x
  3. Step 3: Cross multiply
    137,249.92x = 205,908.20 × 43,755.60
  4. Step 4: Simplify right side
    137,249.92x = 9,009,636,835.92
  5. Step 5: Solve for x
    x = 9,009,636,835.92/137,249.92
  6. Step 6: Final answer
    x = 65,644.02

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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.