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Finding the Fourth Proportional to 68,288, 102,435.84 and 19,043.84

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Solution

The fourth proportional to 68,288, 102,435.84 and 19,043.84 is: 28,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,288 : 102,435.84 = 19,043.84 : x
  2. Step 2: Convert to fraction form
    68,288/102,435.84 = 19,043.84/x
  3. Step 3: Cross multiply
    68,288x = 102,435.84 × 19,043.84
  4. Step 4: Simplify right side
    68,288x = 1,950,771,747.23
  5. Step 5: Solve for x
    x = 1,950,771,747.23/68,288
  6. Step 6: Final answer
    x = 28,566.83

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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.