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Finding the Fourth Proportional to 68,170.32, 102,207.80 and 30,201.10

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Solution

The fourth proportional to 68,170.32, 102,207.80 and 30,201.10 is: 45,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,170.32 : 102,207.80 = 30,201.10 : x
  2. Step 2: Convert to fraction form
    68,170.32/102,207.80 = 30,201.10/x
  3. Step 3: Cross multiply
    68,170.32x = 102,207.80 × 30,201.10
  4. Step 4: Simplify right side
    68,170.32x = 3,086,787,808.56
  5. Step 5: Solve for x
    x = 3,086,787,808.56/68,170.32
  6. Step 6: Final answer
    x = 45,280.52

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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.