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Finding the Fourth Proportional to 68,474.88, 102,706.92 and 21,728.16

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Solution

The fourth proportional to 68,474.88, 102,706.92 and 21,728.16 is: 32,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,474.88 : 102,706.92 = 21,728.16 : x
  2. Step 2: Convert to fraction form
    68,474.88/102,706.92 = 21,728.16/x
  3. Step 3: Cross multiply
    68,474.88x = 102,706.92 × 21,728.16
  4. Step 4: Simplify right side
    68,474.88x = 2,231,632,390.87
  5. Step 5: Solve for x
    x = 2,231,632,390.87/68,474.88
  6. Step 6: Final answer
    x = 32,590.53

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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.