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Finding the Fourth Proportional to 68,145.81, 102,211.51 and 18,230.94

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Solution

The fourth proportional to 68,145.81, 102,211.51 and 18,230.94 is: 27,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,145.81 : 102,211.51 = 18,230.94 : x
  2. Step 2: Convert to fraction form
    68,145.81/102,211.51 = 18,230.94/x
  3. Step 3: Cross multiply
    68,145.81x = 102,211.51 × 18,230.94
  4. Step 4: Simplify right side
    68,145.81x = 1,863,411,906.12
  5. Step 5: Solve for x
    x = 1,863,411,906.12/68,145.81
  6. Step 6: Final answer
    x = 27,344.48

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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.