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Finding the Fourth Proportional to 206,469.13, 309,494.53 and 139,915.99

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Solution

The fourth proportional to 206,469.13, 309,494.53 and 139,915.99 is: 209,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.13 : 309,494.53 = 139,915.99 : x
  2. Step 2: Convert to fraction form
    206,469.13/309,494.53 = 139,915.99/x
  3. Step 3: Cross multiply
    206,469.13x = 309,494.53 × 139,915.99
  4. Step 4: Simplify right side
    206,469.13x = 43,303,233,564.53
  5. Step 5: Solve for x
    x = 43,303,233,564.53/206,469.13
  6. Step 6: Final answer
    x = 209,732.24

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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.