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Finding the Fourth Proportional to 137,991.84, 206,944.56 and 91,491.36

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Solution

The fourth proportional to 137,991.84, 206,944.56 and 91,491.36 is: 137,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,991.84 : 206,944.56 = 91,491.36 : x
  2. Step 2: Convert to fraction form
    137,991.84/206,944.56 = 91,491.36/x
  3. Step 3: Cross multiply
    137,991.84x = 206,944.56 × 91,491.36
  4. Step 4: Simplify right side
    137,991.84x = 18,933,639,239.00
  5. Step 5: Solve for x
    x = 18,933,639,239.00/137,991.84
  6. Step 6: Final answer
    x = 137,208.40

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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.