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Finding the Fourth Proportional to 68,144.91, 102,211.08 and 18,223.21

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Solution

The fourth proportional to 68,144.91, 102,211.08 and 18,223.21 is: 27,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.91 : 102,211.08 = 18,223.21 : x
  2. Step 2: Convert to fraction form
    68,144.91/102,211.08 = 18,223.21/x
  3. Step 3: Cross multiply
    68,144.91x = 102,211.08 × 18,223.21
  4. Step 4: Simplify right side
    68,144.91x = 1,862,613,975.17
  5. Step 5: Solve for x
    x = 1,862,613,975.17/68,144.91
  6. Step 6: Final answer
    x = 27,333.13

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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.