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Finding the Fourth Proportional to 206,804.40, 285,317.38 and 135,226.32

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Solution

The fourth proportional to 206,804.40, 285,317.38 and 135,226.32 is: 186,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.40 : 285,317.38 = 135,226.32 : x
  2. Step 2: Convert to fraction form
    206,804.40/285,317.38 = 135,226.32/x
  3. Step 3: Cross multiply
    206,804.40x = 285,317.38 × 135,226.32
  4. Step 4: Simplify right side
    206,804.40x = 38,582,419,329.44
  5. Step 5: Solve for x
    x = 38,582,419,329.44/206,804.40
  6. Step 6: Final answer
    x = 186,564.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.