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Finding the Fourth Proportional to 78,947.49, 118,505.49 and 33,991.09

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Solution

The fourth proportional to 78,947.49, 118,505.49 and 33,991.09 is: 51,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,947.49 : 118,505.49 = 33,991.09 : x
  2. Step 2: Convert to fraction form
    78,947.49/118,505.49 = 33,991.09/x
  3. Step 3: Cross multiply
    78,947.49x = 118,505.49 × 33,991.09
  4. Step 4: Simplify right side
    78,947.49x = 4,028,130,776.08
  5. Step 5: Solve for x
    x = 4,028,130,776.08/78,947.49
  6. Step 6: Final answer
    x = 51,022.91

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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.