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Finding the Fourth Proportional to 68,627.20, 102,892.20 and 31,205.20

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Solution

The fourth proportional to 68,627.20, 102,892.20 and 31,205.20 is: 46,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,627.20 : 102,892.20 = 31,205.20 : x
  2. Step 2: Convert to fraction form
    68,627.20/102,892.20 = 31,205.20/x
  3. Step 3: Cross multiply
    68,627.20x = 102,892.20 × 31,205.20
  4. Step 4: Simplify right side
    68,627.20x = 3,210,771,679.44
  5. Step 5: Solve for x
    x = 3,210,771,679.44/68,627.20
  6. Step 6: Final answer
    x = 46,785.70

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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.