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Finding the Fourth Proportional to 68,935.14, 103,402.71 and 19,687.14

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Solution

The fourth proportional to 68,935.14, 103,402.71 and 19,687.14 is: 29,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,935.14 : 103,402.71 = 19,687.14 : x
  2. Step 2: Convert to fraction form
    68,935.14/103,402.71 = 19,687.14/x
  3. Step 3: Cross multiply
    68,935.14x = 103,402.71 × 19,687.14
  4. Step 4: Simplify right side
    68,935.14x = 2,035,703,628.15
  5. Step 5: Solve for x
    x = 2,035,703,628.15/68,935.14
  6. Step 6: Final answer
    x = 29,530.71

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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.