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Finding the Fourth Proportional to 68,631.20, 102,745.20 and 51,178.40

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Solution

The fourth proportional to 68,631.20, 102,745.20 and 51,178.40 is: 76,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,631.20 : 102,745.20 = 51,178.40 : x
  2. Step 2: Convert to fraction form
    68,631.20/102,745.20 = 51,178.40/x
  3. Step 3: Cross multiply
    68,631.20x = 102,745.20 × 51,178.40
  4. Step 4: Simplify right side
    68,631.20x = 5,258,334,943.68
  5. Step 5: Solve for x
    x = 5,258,334,943.68/68,631.20
  6. Step 6: Final answer
    x = 76,617.27

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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.