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Finding the Fourth Proportional to 68,279.20, 102,322.80 and 54,263.20

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Solution

The fourth proportional to 68,279.20, 102,322.80 and 54,263.20 is: 81,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,279.20 : 102,322.80 = 54,263.20 : x
  2. Step 2: Convert to fraction form
    68,279.20/102,322.80 = 54,263.20/x
  3. Step 3: Cross multiply
    68,279.20x = 102,322.80 × 54,263.20
  4. Step 4: Simplify right side
    68,279.20x = 5,552,362,560.96
  5. Step 5: Solve for x
    x = 5,552,362,560.96/68,279.20
  6. Step 6: Final answer
    x = 81,318.51

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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.