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Finding the Fourth Proportional to 206,082.64, 308,599.08 and 100,625.50

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Solution

The fourth proportional to 206,082.64, 308,599.08 and 100,625.50 is: 150,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,082.64 : 308,599.08 = 100,625.50 : x
  2. Step 2: Convert to fraction form
    206,082.64/308,599.08 = 100,625.50/x
  3. Step 3: Cross multiply
    206,082.64x = 308,599.08 × 100,625.50
  4. Step 4: Simplify right side
    206,082.64x = 31,052,936,724.54
  5. Step 5: Solve for x
    x = 31,052,936,724.54/206,082.64
  6. Step 6: Final answer
    x = 150,681.96

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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.