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Finding the Fourth Proportional to 68,133.89, 102,200.87 and 30,650.18

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Solution

The fourth proportional to 68,133.89, 102,200.87 and 30,650.18 is: 45,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133.89 : 102,200.87 = 30,650.18 : x
  2. Step 2: Convert to fraction form
    68,133.89/102,200.87 = 30,650.18/x
  3. Step 3: Cross multiply
    68,133.89x = 102,200.87 × 30,650.18
  4. Step 4: Simplify right side
    68,133.89x = 3,132,475,202.16
  5. Step 5: Solve for x
    x = 3,132,475,202.16/68,133.89
  6. Step 6: Final answer
    x = 45,975.29

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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.