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Finding the Fourth Proportional to 68,338.96, 102,507.82 and 21,591.84

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Solution

The fourth proportional to 68,338.96, 102,507.82 and 21,591.84 is: 32,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338.96 : 102,507.82 = 21,591.84 : x
  2. Step 2: Convert to fraction form
    68,338.96/102,507.82 = 21,591.84/x
  3. Step 3: Cross multiply
    68,338.96x = 102,507.82 × 21,591.84
  4. Step 4: Simplify right side
    68,338.96x = 2,213,332,448.19
  5. Step 5: Solve for x
    x = 2,213,332,448.19/68,338.96
  6. Step 6: Final answer
    x = 32,387.56

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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.