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Finding the Fourth Proportional to 68,072.69, 102,114 and 18,152.60

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Solution

The fourth proportional to 68,072.69, 102,114 and 18,152.60 is: 27,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072.69 : 102,114 = 18,152.60 : x
  2. Step 2: Convert to fraction form
    68,072.69/102,114 = 18,152.60/x
  3. Step 3: Cross multiply
    68,072.69x = 102,114 × 18,152.60
  4. Step 4: Simplify right side
    68,072.69x = 1,853,634,085.83
  5. Step 5: Solve for x
    x = 1,853,634,085.83/68,072.69
  6. Step 6: Final answer
    x = 27,230.22

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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.