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Finding the Fourth Proportional to 68,074.30, 102,035.78 and 51,380.20

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Solution

The fourth proportional to 68,074.30, 102,035.78 and 51,380.20 is: 77,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,074.30 : 102,035.78 = 51,380.20 : x
  2. Step 2: Convert to fraction form
    68,074.30/102,035.78 = 51,380.20/x
  3. Step 3: Cross multiply
    68,074.30x = 102,035.78 × 51,380.20
  4. Step 4: Simplify right side
    68,074.30x = 5,242,618,783.56
  5. Step 5: Solve for x
    x = 5,242,618,783.56/68,074.30
  6. Step 6: Final answer
    x = 77,013.19

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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.