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Finding the Fourth Proportional to 206,202.65, 308,901.30 and 97,977.97

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Solution

The fourth proportional to 206,202.65, 308,901.30 and 97,977.97 is: 146,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,202.65 : 308,901.30 = 97,977.97 : x
  2. Step 2: Convert to fraction form
    206,202.65/308,901.30 = 97,977.97/x
  3. Step 3: Cross multiply
    206,202.65x = 308,901.30 × 97,977.97
  4. Step 4: Simplify right side
    206,202.65x = 30,265,522,323.07
  5. Step 5: Solve for x
    x = 30,265,522,323.07/206,202.65
  6. Step 6: Final answer
    x = 146,775.63

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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.