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Finding the Fourth Proportional to 68,114.75, 102,172.17 and 18,866.75

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Solution

The fourth proportional to 68,114.75, 102,172.17 and 18,866.75 is: 28,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.75 : 102,172.17 = 18,866.75 : x
  2. Step 2: Convert to fraction form
    68,114.75/102,172.17 = 18,866.75/x
  3. Step 3: Cross multiply
    68,114.75x = 102,172.17 × 18,866.75
  4. Step 4: Simplify right side
    68,114.75x = 1,927,656,788.35
  5. Step 5: Solve for x
    x = 1,927,656,788.35/68,114.75
  6. Step 6: Final answer
    x = 28,300.14

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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.