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Finding the Fourth Proportional to 68,481.60, 102,722.40 and 24,158.40

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Solution

The fourth proportional to 68,481.60, 102,722.40 and 24,158.40 is: 36,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,481.60 : 102,722.40 = 24,158.40 : x
  2. Step 2: Convert to fraction form
    68,481.60/102,722.40 = 24,158.40/x
  3. Step 3: Cross multiply
    68,481.60x = 102,722.40 × 24,158.40
  4. Step 4: Simplify right side
    68,481.60x = 2,481,608,828.16
  5. Step 5: Solve for x
    x = 2,481,608,828.16/68,481.60
  6. Step 6: Final answer
    x = 36,237.60

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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.