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Finding the Fourth Proportional to 172,612.26, 238,136.49 and 105,583.14

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Solution

The fourth proportional to 172,612.26, 238,136.49 and 105,583.14 is: 145,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,612.26 : 238,136.49 = 105,583.14 : x
  2. Step 2: Convert to fraction form
    172,612.26/238,136.49 = 105,583.14/x
  3. Step 3: Cross multiply
    172,612.26x = 238,136.49 × 105,583.14
  4. Step 4: Simplify right side
    172,612.26x = 25,143,198,362.78
  5. Step 5: Solve for x
    x = 25,143,198,362.78/172,612.26
  6. Step 6: Final answer
    x = 145,662.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.