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Finding the Fourth Proportional to 206,394.16, 309,488.64 and 66,134.56

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Solution

The fourth proportional to 206,394.16, 309,488.64 and 66,134.56 is: 99,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,394.16 : 309,488.64 = 66,134.56 : x
  2. Step 2: Convert to fraction form
    206,394.16/309,488.64 = 66,134.56/x
  3. Step 3: Cross multiply
    206,394.16x = 309,488.64 × 66,134.56
  4. Step 4: Simplify right side
    206,394.16x = 20,467,895,031.40
  5. Step 5: Solve for x
    x = 20,467,895,031.40/206,394.16
  6. Step 6: Final answer
    x = 99,168.96

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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.