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Finding the Fourth Proportional to 138,632.80, 207,949.20 and 68,497.60

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Solution

The fourth proportional to 138,632.80, 207,949.20 and 68,497.60 is: 102,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,632.80 : 207,949.20 = 68,497.60 : x
  2. Step 2: Convert to fraction form
    138,632.80/207,949.20 = 68,497.60/x
  3. Step 3: Cross multiply
    138,632.80x = 207,949.20 × 68,497.60
  4. Step 4: Simplify right side
    138,632.80x = 14,244,021,121.92
  5. Step 5: Solve for x
    x = 14,244,021,121.92/138,632.80
  6. Step 6: Final answer
    x = 102,746.40

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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.