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Finding the Fourth Proportional to 206,468.63, 309,493.78 and 139,915.49

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Solution

The fourth proportional to 206,468.63, 309,493.78 and 139,915.49 is: 209,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468.63 : 309,493.78 = 139,915.49 : x
  2. Step 2: Convert to fraction form
    206,468.63/309,493.78 = 139,915.49/x
  3. Step 3: Cross multiply
    206,468.63x = 309,493.78 × 139,915.49
  4. Step 4: Simplify right side
    206,468.63x = 43,302,973,880.65
  5. Step 5: Solve for x
    x = 43,302,973,880.65/206,468.63
  6. Step 6: Final answer
    x = 209,731.49

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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.