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Finding the Fourth Proportional to 68,013, 102,025.38 and 18,765

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Solution

The fourth proportional to 68,013, 102,025.38 and 18,765 is: 28,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,013 : 102,025.38 = 18,765 : x
  2. Step 2: Convert to fraction form
    68,013/102,025.38 = 18,765/x
  3. Step 3: Cross multiply
    68,013x = 102,025.38 × 18,765
  4. Step 4: Simplify right side
    68,013x = 1,914,506,255.70
  5. Step 5: Solve for x
    x = 1,914,506,255.70/68,013
  6. Step 6: Final answer
    x = 28,149.12

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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.