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Finding the Fourth Proportional to 68,716.98, 102,957.11 and 53,718.24

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Solution

The fourth proportional to 68,716.98, 102,957.11 and 53,718.24 is: 80,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,716.98 : 102,957.11 = 53,718.24 : x
  2. Step 2: Convert to fraction form
    68,716.98/102,957.11 = 53,718.24/x
  3. Step 3: Cross multiply
    68,716.98x = 102,957.11 × 53,718.24
  4. Step 4: Simplify right side
    68,716.98x = 5,530,675,063.63
  5. Step 5: Solve for x
    x = 5,530,675,063.63/68,716.98
  6. Step 6: Final answer
    x = 80,484.84

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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.