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Finding the Fourth Proportional to 68,338.49, 102,510.82 and 20,950.12

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Solution

The fourth proportional to 68,338.49, 102,510.82 and 20,950.12 is: 31,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338.49 : 102,510.82 = 20,950.12 : x
  2. Step 2: Convert to fraction form
    68,338.49/102,510.82 = 20,950.12/x
  3. Step 3: Cross multiply
    68,338.49x = 102,510.82 × 20,950.12
  4. Step 4: Simplify right side
    68,338.49x = 2,147,613,728.47
  5. Step 5: Solve for x
    x = 2,147,613,728.47/68,338.49
  6. Step 6: Final answer
    x = 31,426.12

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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.