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Finding the Fourth Proportional to 68,716.16, 94,826.32 and 40,042.16

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Solution

The fourth proportional to 68,716.16, 94,826.32 and 40,042.16 is: 55,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,716.16 : 94,826.32 = 40,042.16 : x
  2. Step 2: Convert to fraction form
    68,716.16/94,826.32 = 40,042.16/x
  3. Step 3: Cross multiply
    68,716.16x = 94,826.32 × 40,042.16
  4. Step 4: Simplify right side
    68,716.16x = 3,797,050,677.65
  5. Step 5: Solve for x
    x = 3,797,050,677.65/68,716.16
  6. Step 6: Final answer
    x = 55,257.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.