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Finding the Fourth Proportional to 68,084.89, 102,128.07 and 20,707.68

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Solution

The fourth proportional to 68,084.89, 102,128.07 and 20,707.68 is: 31,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,084.89 : 102,128.07 = 20,707.68 : x
  2. Step 2: Convert to fraction form
    68,084.89/102,128.07 = 20,707.68/x
  3. Step 3: Cross multiply
    68,084.89x = 102,128.07 × 20,707.68
  4. Step 4: Simplify right side
    68,084.89x = 2,114,835,853.21
  5. Step 5: Solve for x
    x = 2,114,835,853.21/68,084.89
  6. Step 6: Final answer
    x = 31,061.75

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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.