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Finding the Fourth Proportional to 98,091.93, 135,362.23 and 54,487.31

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Solution

The fourth proportional to 98,091.93, 135,362.23 and 54,487.31 is: 75,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,091.93 : 135,362.23 = 54,487.31 : x
  2. Step 2: Convert to fraction form
    98,091.93/135,362.23 = 54,487.31/x
  3. Step 3: Cross multiply
    98,091.93x = 135,362.23 × 54,487.31
  4. Step 4: Simplify right side
    98,091.93x = 7,375,522,975.27
  5. Step 5: Solve for x
    x = 7,375,522,975.27/98,091.93
  6. Step 6: Final answer
    x = 75,189.90

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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.