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Finding the Fourth Proportional to 206,269.39, 309,482.61 and 106,365.79

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Solution

The fourth proportional to 206,269.39, 309,482.61 and 106,365.79 is: 159,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,269.39 : 309,482.61 = 106,365.79 : x
  2. Step 2: Convert to fraction form
    206,269.39/309,482.61 = 106,365.79/x
  3. Step 3: Cross multiply
    206,269.39x = 309,482.61 × 106,365.79
  4. Step 4: Simplify right side
    206,269.39x = 32,918,362,303.91
  5. Step 5: Solve for x
    x = 32,918,362,303.91/206,269.39
  6. Step 6: Final answer
    x = 159,589.18

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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.