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Finding the Fourth Proportional to 206,462.84, 309,485.14 and 139,909.73

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Solution

The fourth proportional to 206,462.84, 309,485.14 and 139,909.73 is: 209,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,462.84 : 309,485.14 = 139,909.73 : x
  2. Step 2: Convert to fraction form
    206,462.84/309,485.14 = 139,909.73/x
  3. Step 3: Cross multiply
    206,462.84x = 309,485.14 × 139,909.73
  4. Step 4: Simplify right side
    206,462.84x = 43,299,980,479.21
  5. Step 5: Solve for x
    x = 43,299,980,479.21/206,462.84
  6. Step 6: Final answer
    x = 209,722.88

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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.