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Finding the Fourth Proportional to 206,157.65, 308,881.44 and 161,161.50

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Solution

The fourth proportional to 206,157.65, 308,881.44 and 161,161.50 is: 241,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,157.65 : 308,881.44 = 161,161.50 : x
  2. Step 2: Convert to fraction form
    206,157.65/308,881.44 = 161,161.50/x
  3. Step 3: Cross multiply
    206,157.65x = 308,881.44 × 161,161.50
  4. Step 4: Simplify right side
    206,157.65x = 49,779,796,192.56
  5. Step 5: Solve for x
    x = 49,779,796,192.56/206,157.65
  6. Step 6: Final answer
    x = 241,464.71

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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.