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Finding the Fourth Proportional to 98,380.97, 135,765.11 and 55,939.50

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Solution

The fourth proportional to 98,380.97, 135,765.11 and 55,939.50 is: 77,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,380.97 : 135,765.11 = 55,939.50 : x
  2. Step 2: Convert to fraction form
    98,380.97/135,765.11 = 55,939.50/x
  3. Step 3: Cross multiply
    98,380.97x = 135,765.11 × 55,939.50
  4. Step 4: Simplify right side
    98,380.97x = 7,594,632,091.15
  5. Step 5: Solve for x
    x = 7,594,632,091.15/98,380.97
  6. Step 6: Final answer
    x = 77,196.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.