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Finding the Fourth Proportional to 68,643.60, 102,965.40 and 54,819.60

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Solution

The fourth proportional to 68,643.60, 102,965.40 and 54,819.60 is: 82,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643.60 : 102,965.40 = 54,819.60 : x
  2. Step 2: Convert to fraction form
    68,643.60/102,965.40 = 54,819.60/x
  3. Step 3: Cross multiply
    68,643.60x = 102,965.40 × 54,819.60
  4. Step 4: Simplify right side
    68,643.60x = 5,644,522,041.84
  5. Step 5: Solve for x
    x = 5,644,522,041.84/68,643.60
  6. Step 6: Final answer
    x = 82,229.40

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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.