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Finding the Fourth Proportional to 206,296.08, 309,448.44 and 66,054.30

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Solution

The fourth proportional to 206,296.08, 309,448.44 and 66,054.30 is: 99,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,296.08 : 309,448.44 = 66,054.30 : x
  2. Step 2: Convert to fraction form
    206,296.08/309,448.44 = 66,054.30/x
  3. Step 3: Cross multiply
    206,296.08x = 309,448.44 × 66,054.30
  4. Step 4: Simplify right side
    206,296.08x = 20,440,400,090.29
  5. Step 5: Solve for x
    x = 20,440,400,090.29/206,296.08
  6. Step 6: Final answer
    x = 99,082.83

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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.