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Finding the Fourth Proportional to 68,463, 102,694.50 and 21,715.88

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Solution

The fourth proportional to 68,463, 102,694.50 and 21,715.88 is: 32,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,463 : 102,694.50 = 21,715.88 : x
  2. Step 2: Convert to fraction form
    68,463/102,694.50 = 21,715.88/x
  3. Step 3: Cross multiply
    68,463x = 102,694.50 × 21,715.88
  4. Step 4: Simplify right side
    68,463x = 2,230,100,925.19
  5. Step 5: Solve for x
    x = 2,230,100,925.19/68,463
  6. Step 6: Final answer
    x = 32,573.81

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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.