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Finding the Fourth Proportional to 206,415.96, 309,364.92 and 111,642.36

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Solution

The fourth proportional to 206,415.96, 309,364.92 and 111,642.36 is: 167,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.96 : 309,364.92 = 111,642.36 : x
  2. Step 2: Convert to fraction form
    206,415.96/309,364.92 = 111,642.36/x
  3. Step 3: Cross multiply
    206,415.96x = 309,364.92 × 111,642.36
  4. Step 4: Simplify right side
    206,415.96x = 34,538,229,770.01
  5. Step 5: Solve for x
    x = 34,538,229,770.01/206,415.96
  6. Step 6: Final answer
    x = 167,323.45

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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.